8(x+1)=5x-22

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Solution for 8(x+1)=5x-22 equation:


Simplifying
8(x + 1) = 5x + -22

Reorder the terms:
8(1 + x) = 5x + -22
(1 * 8 + x * 8) = 5x + -22
(8 + 8x) = 5x + -22

Reorder the terms:
8 + 8x = -22 + 5x

Solving
8 + 8x = -22 + 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 + 8x + -5x = -22 + 5x + -5x

Combine like terms: 8x + -5x = 3x
8 + 3x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + 3x = -22 + 0
8 + 3x = -22

Add '-8' to each side of the equation.
8 + -8 + 3x = -22 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = -22 + -8
3x = -22 + -8

Combine like terms: -22 + -8 = -30
3x = -30

Divide each side by '3'.
x = -10

Simplifying
x = -10

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