4(2x-2)+x=7(x-3)+5

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Solution for 4(2x-2)+x=7(x-3)+5 equation: 


Simplifying
4(2x + -2) + x = 7(x + -3) + 5

Reorder the terms:
4(-2 + 2x) + x = 7(x + -3) + 5
(-2 * 4 + 2x * 4) + x = 7(x + -3) + 5
(-8 + 8x) + x = 7(x + -3) + 5

Combine like terms: 8x + x = 9x
-8 + 9x = 7(x + -3) + 5

Reorder the terms:
-8 + 9x = 7(-3 + x) + 5
-8 + 9x = (-3 * 7 + x * 7) + 5
-8 + 9x = (-21 + 7x) + 5

Reorder the terms:
-8 + 9x = -21 + 5 + 7x

Combine like terms: -21 + 5 = -16
-8 + 9x = -16 + 7x

Solving
-8 + 9x = -16 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-8 + 9x + -7x = -16 + 7x + -7x

Combine like terms: 9x + -7x = 2x
-8 + 2x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + 2x = -16 + 0
-8 + 2x = -16

Add '8' to each side of the equation.
-8 + 8 + 2x = -16 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = -16 + 8
2x = -16 + 8

Combine like terms: -16 + 8 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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