Question

x-1/4=2x-1 verify and solve​

Answer 1

Step-by-step explanation:

1

Multiply the numbers

−

1

⋅

1

4

=

2

−

1

x{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{1}{4}}}=2x-1

x−1⋅41=2x−1

−

1

4

=

2

−

1

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

x−41=2x−1

2

Add

1

4

\frac{1}{4}

41

to both sides of the equation

−

1

4

=

2

−

1

x-\frac{1}{4}=2x-1

x−41=2x−1

−

1

4

+

1

4

=

2

−

1

+

1

4

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

x−41+41=2x−1+41

3

Simplify

Add the numbers

Add the numbers

=

2

−

3

4

x=2x-\frac{3}{4}

x=2x−43

4

Subtract

2

2x

2x

from both sides of the equation

=

2

−

3

4

x=2x-\frac{3}{4}

x=2x−43

−

2

=

2

−

3

4

−

2

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

x−2x=2x−43−2x

5

Simplify

Combine like terms

Combine like terms

−

=

−

3

4

-x=-\frac{3}{4}

−x=−43

6

Divide both sides of the equation by the same term

−

=

−

3

4

-x=-\frac{3}{4}

−x=−43

−

−

1

=

−

3

4

−

1

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

−1−x=−1−43

7

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

4