2(3x+7)-4(2x+2)=32

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Solution for 2(3x+7)-4(2x+2)=32 equation:


Simplifying
2(3x + 7) + -4(2x + 2) = 32

Reorder the terms:
2(7 + 3x) + -4(2x + 2) = 32
(7 * 2 + 3x * 2) + -4(2x + 2) = 32
(14 + 6x) + -4(2x + 2) = 32

Reorder the terms:
14 + 6x + -4(2 + 2x) = 32
14 + 6x + (2 * -4 + 2x * -4) = 32
14 + 6x + (-8 + -8x) = 32

Reorder the terms:
14 + -8 + 6x + -8x = 32

Combine like terms: 14 + -8 = 6
6 + 6x + -8x = 32

Combine like terms: 6x + -8x = -2x
6 + -2x = 32

Solving
6 + -2x = 32

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + -2x = 32 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = 32 + -6
-2x = 32 + -6

Combine like terms: 32 + -6 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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