(2x+7)-2(3x-8)=31

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Solution for (2x+7)-2(3x-8)=31 equation:


Simplifying
(2x + 7) + -2(3x + -8) = 31

Reorder the terms:
(7 + 2x) + -2(3x + -8) = 31

Remove parenthesis around (7 + 2x)
7 + 2x + -2(3x + -8) = 31

Reorder the terms:
7 + 2x + -2(-8 + 3x) = 31
7 + 2x + (-8 * -2 + 3x * -2) = 31
7 + 2x + (16 + -6x) = 31

Reorder the terms:
7 + 16 + 2x + -6x = 31

Combine like terms: 7 + 16 = 23
23 + 2x + -6x = 31

Combine like terms: 2x + -6x = -4x
23 + -4x = 31

Solving
23 + -4x = 31

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + -4x = 31 + -23

Combine like terms: 23 + -23 = 0
0 + -4x = 31 + -23
-4x = 31 + -23

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

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

Simplifying
x = -2

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