5(x+2)-7(x-2)=256

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Solution for 5(x+2)-7(x-2)=256 equation:


Simplifying
5(x + 2) + -7(x + -2) = 256

Reorder the terms:
5(2 + x) + -7(x + -2) = 256
(2 * 5 + x * 5) + -7(x + -2) = 256
(10 + 5x) + -7(x + -2) = 256

Reorder the terms:
10 + 5x + -7(-2 + x) = 256
10 + 5x + (-2 * -7 + x * -7) = 256
10 + 5x + (14 + -7x) = 256

Reorder the terms:
10 + 14 + 5x + -7x = 256

Combine like terms: 10 + 14 = 24
24 + 5x + -7x = 256

Combine like terms: 5x + -7x = -2x
24 + -2x = 256

Solving
24 + -2x = 256

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + -2x = 256 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = 256 + -24
-2x = 256 + -24

Combine like terms: 256 + -24 = 232
-2x = 232

Divide each side by '-2'.
x = -116

Simplifying
x = -116

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