2(4x-4)-5=-x+23

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Solution for 2(4x-4)-5=-x+23 equation:


Simplifying
2(4x + -4) + -5 = -1x + 23

Reorder the terms:
2(-4 + 4x) + -5 = -1x + 23
(-4 * 2 + 4x * 2) + -5 = -1x + 23
(-8 + 8x) + -5 = -1x + 23

Reorder the terms:
-8 + -5 + 8x = -1x + 23

Combine like terms: -8 + -5 = -13
-13 + 8x = -1x + 23

Reorder the terms:
-13 + 8x = 23 + -1x

Solving
-13 + 8x = 23 + -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.
-13 + 8x + x = 23 + -1x + x

Combine like terms: 8x + x = 9x
-13 + 9x = 23 + -1x + x

Combine like terms: -1x + x = 0
-13 + 9x = 23 + 0
-13 + 9x = 23

Add '13' to each side of the equation.
-13 + 13 + 9x = 23 + 13

Combine like terms: -13 + 13 = 0
0 + 9x = 23 + 13
9x = 23 + 13

Combine like terms: 23 + 13 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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