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

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


Simplifying
8(x + 4) = 10 + -2(x + -8)

Reorder the terms:
8(4 + x) = 10 + -2(x + -8)
(4 * 8 + x * 8) = 10 + -2(x + -8)
(32 + 8x) = 10 + -2(x + -8)

Reorder the terms:
32 + 8x = 10 + -2(-8 + x)
32 + 8x = 10 + (-8 * -2 + x * -2)
32 + 8x = 10 + (16 + -2x)

Combine like terms: 10 + 16 = 26
32 + 8x = 26 + -2x

Solving
32 + 8x = 26 + -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.
32 + 8x + 2x = 26 + -2x + 2x

Combine like terms: 8x + 2x = 10x
32 + 10x = 26 + -2x + 2x

Combine like terms: -2x + 2x = 0
32 + 10x = 26 + 0
32 + 10x = 26

Add '-32' to each side of the equation.
32 + -32 + 10x = 26 + -32

Combine like terms: 32 + -32 = 0
0 + 10x = 26 + -32
10x = 26 + -32

Combine like terms: 26 + -32 = -6
10x = -6

Divide each side by '10'.
x = -0.6

Simplifying
x = -0.6

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