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

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


Simplifying
10x + 8(2x + 4) = 8 + -1x

Reorder the terms:
10x + 8(4 + 2x) = 8 + -1x
10x + (4 * 8 + 2x * 8) = 8 + -1x
10x + (32 + 16x) = 8 + -1x

Reorder the terms:
32 + 10x + 16x = 8 + -1x

Combine like terms: 10x + 16x = 26x
32 + 26x = 8 + -1x

Solving
32 + 26x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
32 + 26x + x = 8 + -1x + x

Combine like terms: 26x + x = 27x
32 + 27x = 8 + -1x + x

Combine like terms: -1x + x = 0
32 + 27x = 8 + 0
32 + 27x = 8

Add '-32' to each side of the equation.
32 + -32 + 27x = 8 + -32

Combine like terms: 32 + -32 = 0
0 + 27x = 8 + -32
27x = 8 + -32

Combine like terms: 8 + -32 = -24
27x = -24

Divide each side by '27'.
x = -0.8888888889

Simplifying
x = -0.8888888889

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