3x+8=-5(x+4)+x

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Solution for 3x+8=-5(x+4)+x equation:


Simplifying
3x + 8 = -5(x + 4) + x

Reorder the terms:
8 + 3x = -5(x + 4) + x

Reorder the terms:
8 + 3x = -5(4 + x) + x
8 + 3x = (4 * -5 + x * -5) + x
8 + 3x = (-20 + -5x) + x

Combine like terms: -5x + x = -4x
8 + 3x = -20 + -4x

Solving
8 + 3x = -20 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8 + 3x + 4x = -20 + -4x + 4x

Combine like terms: 3x + 4x = 7x
8 + 7x = -20 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 7x = -20 + 0
8 + 7x = -20

Add '-8' to each side of the equation.
8 + -8 + 7x = -20 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = -20 + -8
7x = -20 + -8

Combine like terms: -20 + -8 = -28
7x = -28

Divide each side by '7'.
x = -4

Simplifying
x = -4

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