4(2x-7)=8-x

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Solution for 4(2x-7)=8-x equation:


Simplifying
4(2x + -7) = 8 + -1x

Reorder the terms:
4(-7 + 2x) = 8 + -1x
(-7 * 4 + 2x * 4) = 8 + -1x
(-28 + 8x) = 8 + -1x

Solving
-28 + 8x = 8 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
-28 + 8x + x = 8 + -1x + x

Combine like terms: 8x + x = 9x
-28 + 9x = 8 + -1x + x

Combine like terms: -1x + x = 0
-28 + 9x = 8 + 0
-28 + 9x = 8

Add '28' to each side of the equation.
-28 + 28 + 9x = 8 + 28

Combine like terms: -28 + 28 = 0
0 + 9x = 8 + 28
9x = 8 + 28

Combine like terms: 8 + 28 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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