4x-8=5(x-7)

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Solution for 4x-8=5(x-7) equation:


Simplifying
4x + -8 = 5(x + -7)

Reorder the terms:
-8 + 4x = 5(x + -7)

Reorder the terms:
-8 + 4x = 5(-7 + x)
-8 + 4x = (-7 * 5 + x * 5)
-8 + 4x = (-35 + 5x)

Solving
-8 + 4x = -35 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-8 + 4x + -5x = -35 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-8 + -1x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + -1x = -35 + 0
-8 + -1x = -35

Add '8' to each side of the equation.
-8 + 8 + -1x = -35 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = -35 + 8
-1x = -35 + 8

Combine like terms: -35 + 8 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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