10(4+2x)-32=13+2(x-7)

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Solution for 10(4+2x)-32=13+2(x-7) equation:


Simplifying
10(4 + 2x) + -32 = 13 + 2(x + -7)
(4 * 10 + 2x * 10) + -32 = 13 + 2(x + -7)
(40 + 20x) + -32 = 13 + 2(x + -7)

Reorder the terms:
40 + -32 + 20x = 13 + 2(x + -7)

Combine like terms: 40 + -32 = 8
8 + 20x = 13 + 2(x + -7)

Reorder the terms:
8 + 20x = 13 + 2(-7 + x)
8 + 20x = 13 + (-7 * 2 + x * 2)
8 + 20x = 13 + (-14 + 2x)

Combine like terms: 13 + -14 = -1
8 + 20x = -1 + 2x

Solving
8 + 20x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
8 + 20x + -2x = -1 + 2x + -2x

Combine like terms: 20x + -2x = 18x
8 + 18x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
8 + 18x = -1 + 0
8 + 18x = -1

Add '-8' to each side of the equation.
8 + -8 + 18x = -1 + -8

Combine like terms: 8 + -8 = 0
0 + 18x = -1 + -8
18x = -1 + -8

Combine like terms: -1 + -8 = -9
18x = -9

Divide each side by '18'.
x = -0.5

Simplifying
x = -0.5

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