Question

5x-4/6=4x+1-3x+10/2
pls solve this question guys​

Answer 1

Answer:

x=5/3

Step-by-step explanation:

How to solve your problem

5

−

1

⋅

4

6

=

4

+

1

−

3

+

1

0

2

5x-1 \cdot \frac{4}{6}=4x+1-3x+\frac{10}{2}

5x−1⋅64=4x+1−3x+210

Solve

1

Divide the numbers

5

−

1

⋅

4

6

=

4

+

1

−

3

+

1

0

2

5x-1 \cdot {\color{#c92786}{\frac{4}{6}}}=4x+1-3x+\frac{10}{2}

5x−1⋅64=4x+1−3x+210

5

−

1

⋅

2

3

=

4

+

1

−

3

+

1

0

2

5x-1 \cdot {\color{#c92786}{\frac{2}{3}}}=4x+1-3x+\frac{10}{2}

5x−1⋅32=4x+1−3x+210

2

Multiply the numbers

5

−

1

⋅

2

3

=

4

+

1

−

3

+

1

0

2

5x{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{2}{3}}}=4x+1-3x+\frac{10}{2}

5x−1⋅32=4x+1−3x+210

5

−

2

3

=

4

+

1

−

3

+

1

0

2

5x{\color{#c92786}{-\frac{2}{3}}}=4x+1-3x+\frac{10}{2}

5x−32=4x+1−3x+210

3

Divide the numbers

5

−

2

3

=

4

+

1

−

3

+

1

0

2

5x-\frac{2}{3}=4x+1-3x+{\color{#c92786}{\frac{10}{2}}}

5x−32=4x+1−3x+210

5

−

2

3

=

4

+

1

−

3

+

5

5x-\frac{2}{3}=4x+1-3x+{\color{#c92786}{5}}

5x−32=4x+1−3x+5

4

Add the numbers

5

−

2

3

=

4

+

1

−

3

+

5

5x-\frac{2}{3}=4x+{\color{#c92786}{1}}-3x+{\color{#c92786}{5}}

5x−32=4x+1−3x+5

5

−

2

3

=

4

+

6

−

3

5x-\frac{2}{3}=4x+{\color{#c92786}{6}}-3x

5x−32=4x+6−3x

5

Combine like terms

5

−

2

3

=

4

+

6

−

3

5x-\frac{2}{3}={\color{#c92786}{4x}}+6{\color{#c92786}{-3x}}

5x−32=4x+6−3x

5

−

2

3

=

1

+

6

5x-\frac{2}{3}={\color{#c92786}{1x}}+6

5x−32=1x+6

6

Multiply by 1

5

−

2

3

=

1

+

6

5x-\frac{2}{3}=1x+6

5x−32=1x+6

5

−

2

3

=

+

6

5x-\frac{2}{3}=x+6

5x−32=x+6

7

Add

2

3

\frac{2}{3}

32

to both sides of the equation

5

−

2

3

=

+

6

5x-\frac{2}{3}=x+6

5x−32=x+6

5

−

2

3

+

2

3

=

+

6

+

2

3

5x-\frac{2}{3}+{\color{#c92786}{\frac{2}{3}}}=x+6+{\color{#c92786}{\frac{2}{3}}}

5x−32+32=x+6+32

8

Simplify

Add the numbers

Add the numbers

5

=

+

2

0

3

5x=x+\frac{20}{3}

5x=x+320

9

Subtract

x

x

from both sides of the equation

5

=

+

2

0

3

5x=x+\frac{20}{3}

5x=x+320

5

−

=

+

2

0

3

−

5x{\color{#c92786}{-x}}=x+\frac{20}{3}{\color{#c92786}{-x}}

5x−x=x+320−x

10

Simplify

Combine like terms

Combine like terms

4

=

2

0

3

4x=\frac{20}{3}

4x=320

11

Divide both sides of the equation by the same term

4

=

2

0

3

4x=\frac{20}{3}

4x=320

4

4

=

2

0

3

4

\frac{4x}{{\color{#c92786}{4}}}=\frac{\frac{20}{3}}{{\color{#c92786}{4}}}

44x=4320

12

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

5

3

Answer 2

Answer:

$x = 14.5$

Step-by-step explanation:

$\frac{5 x - 4}{6} = \frac{4x + 1 - 3x + 10}{2} \\ \frac{5x - 4}{6} = \frac{x + 11}{2} \\ cross \: multiply \\ 2(5x - 4) = 6(x + 11) \\ 10x - 8 = 6x + 66 \\ 10x - 6x = 66 + 8 \\ 4x = 58 \\ x = \frac{58}{4} \\ x = 14.5$

hope it helps

please mark as brainliest