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

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


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

Combine like terms: 4 + -10 = -6
8 + -1x = -6 + -5x

Solving
8 + -1x = -6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
8 + -1x + 5x = -6 + -5x + 5x

Combine like terms: -1x + 5x = 4x
8 + 4x = -6 + -5x + 5x

Combine like terms: -5x + 5x = 0
8 + 4x = -6 + 0
8 + 4x = -6

Add '-8' to each side of the equation.
8 + -8 + 4x = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = -6 + -8
4x = -6 + -8

Combine like terms: -6 + -8 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5

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