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

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Solution for 10+8(2x+4)=8-1x equation:


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

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

Combine like terms: 10 + 32 = 42
42 + 16x = 8 + -1x

Solving
42 + 16x = 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.
42 + 16x + x = 8 + -1x + x

Combine like terms: 16x + x = 17x
42 + 17x = 8 + -1x + x

Combine like terms: -1x + x = 0
42 + 17x = 8 + 0
42 + 17x = 8

Add '-42' to each side of the equation.
42 + -42 + 17x = 8 + -42

Combine like terms: 42 + -42 = 0
0 + 17x = 8 + -42
17x = 8 + -42

Combine like terms: 8 + -42 = -34
17x = -34

Divide each side by '17'.
x = -2

Simplifying
x = -2

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