Question

Solve the following equations and verify.

a. 8 – 2x = 5 – 4x​

Answer 1

Step-by-step explanation:

Rearrange terms

8

−

2

=

5

−

4

{\color{#c92786}{8-2x}}=5-4x

8−2x=5−4x

−

2

+

8

=

5

−

4

{\color{#c92786}{-2x+8}}=5-4x

−2x+8=5−4x

2

Rearrange terms

−

2

+

8

=

5

−

4

-2x+8={\color{#c92786}{5-4x}}

−2x+8=5−4x

−

2

+

8

=

−

4

+

5

-2x+8={\color{#c92786}{-4x+5}}

−2x+8=−4x+5

3

Subtract

8

8

8

from both sides of the equation

−

2

+

8

=

−

4

+

5

-2x+8=-4x+5

−2x+8=−4x+5

−

2

+

8

−

8

=

−

4

+

5

−

8

-2x+8{\color{#c92786}{-8}}=-4x+5{\color{#c92786}{-8}}

−2x+8−8=−4x+5−8

4

Simplify

Subtract the numbers

Subtract the numbers

−

2

=

−

4

−

3

-2x=-4x-3

−2x=−4x−3

5

Add

4

4x

4x

to both sides of the equation

−

2

=

−

4

−

3

-2x=-4x-3

−2x=−4x−3

−

2

+

4

=

−

4

−

3

+

4

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

−2x+4x=−4x−3+4x

3 more steps

Solution

=

−

3

2

Answer 2

QUESTION: 8 - 2x = 5 - 4x

TO FIND: Value of x

SOLUTION:

$= > 8 - 2x = 5 - 4x$

$= > - 2x + 4x = 5 - 8$

$= > 2x = - 3$

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

Hence, Value of $x \ \: is \: \frac{ - 3}{2}$

⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀VERIFICATION

Putting the value of x, we get:

$= > 8 - 2x = 5 - 4x$

$= > 8 - 2 (\frac{ - 3}{2} ) = 5 - 4( \frac{ - 3}{2} )$

$= > 8 + 3 = 5 + 6$

$= >11 = 11$

Hence, Verified ✔️