2(3-4x)+10=32-5x+7

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Solution for 2(3-4x)+10=32-5x+7 equation: 


Simplifying
2(3 + -4x) + 10 = 32 + -5x + 7
(3 * 2 + -4x * 2) + 10 = 32 + -5x + 7
(6 + -8x) + 10 = 32 + -5x + 7

Reorder the terms:
6 + 10 + -8x = 32 + -5x + 7

Combine like terms: 6 + 10 = 16
16 + -8x = 32 + -5x + 7

Reorder the terms:
16 + -8x = 32 + 7 + -5x

Combine like terms: 32 + 7 = 39
16 + -8x = 39 + -5x

Solving
16 + -8x = 39 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
16 + -8x + 5x = 39 + -5x + 5x

Combine like terms: -8x + 5x = -3x
16 + -3x = 39 + -5x + 5x

Combine like terms: -5x + 5x = 0
16 + -3x = 39 + 0
16 + -3x = 39

Add '-16' to each side of the equation.
16 + -16 + -3x = 39 + -16

Combine like terms: 16 + -16 = 0
0 + -3x = 39 + -16
-3x = 39 + -16

Combine like terms: 39 + -16 = 23
-3x = 23

Divide each side by '-3'.
x = -7.666666667

Simplifying
x = -7.666666667

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