2(x+4)+32=4(x-2)-23

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Solution for 2(x+4)+32=4(x-2)-23 equation: 


Simplifying
2(x + 4) + 32 = 4(x + -2) + -23

Reorder the terms:
2(4 + x) + 32 = 4(x + -2) + -23
(4 * 2 + x * 2) + 32 = 4(x + -2) + -23
(8 + 2x) + 32 = 4(x + -2) + -23

Reorder the terms:
8 + 32 + 2x = 4(x + -2) + -23

Combine like terms: 8 + 32 = 40
40 + 2x = 4(x + -2) + -23

Reorder the terms:
40 + 2x = 4(-2 + x) + -23
40 + 2x = (-2 * 4 + x * 4) + -23
40 + 2x = (-8 + 4x) + -23

Reorder the terms:
40 + 2x = -8 + -23 + 4x

Combine like terms: -8 + -23 = -31
40 + 2x = -31 + 4x

Solving
40 + 2x = -31 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
40 + 2x + -4x = -31 + 4x + -4x

Combine like terms: 2x + -4x = -2x
40 + -2x = -31 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + -2x = -31 + 0
40 + -2x = -31

Add '-40' to each side of the equation.
40 + -40 + -2x = -31 + -40

Combine like terms: 40 + -40 = 0
0 + -2x = -31 + -40
-2x = -31 + -40

Combine like terms: -31 + -40 = -71
-2x = -71

Divide each side by '-2'.
x = 35.5

Simplifying
x = 35.5

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