5(4+2x)-(8x-12)=10

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Solution for 5(4+2x)-(8x-12)=10 equation: 


Simplifying
5(4 + 2x) + -1(8x + -12) = 10
(4 * 5 + 2x * 5) + -1(8x + -12) = 10
(20 + 10x) + -1(8x + -12) = 10

Reorder the terms:
20 + 10x + -1(-12 + 8x) = 10
20 + 10x + (-12 * -1 + 8x * -1) = 10
20 + 10x + (12 + -8x) = 10

Reorder the terms:
20 + 12 + 10x + -8x = 10

Combine like terms: 20 + 12 = 32
32 + 10x + -8x = 10

Combine like terms: 10x + -8x = 2x
32 + 2x = 10

Solving
32 + 2x = 10

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + 2x = 10 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = 10 + -32
2x = 10 + -32

Combine like terms: 10 + -32 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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