8(x+3)+8=5x-22

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Solution for 8(x+3)+8=5x-22 equation:


Simplifying
8(x + 3) + 8 = 5x + -22

Reorder the terms:
8(3 + x) + 8 = 5x + -22
(3 * 8 + x * 8) + 8 = 5x + -22
(24 + 8x) + 8 = 5x + -22

Reorder the terms:
24 + 8 + 8x = 5x + -22

Combine like terms: 24 + 8 = 32
32 + 8x = 5x + -22

Reorder the terms:
32 + 8x = -22 + 5x

Solving
32 + 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.
32 + 8x + -5x = -22 + 5x + -5x

Combine like terms: 8x + -5x = 3x
32 + 3x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
32 + 3x = -22 + 0
32 + 3x = -22

Add '-32' to each side of the equation.
32 + -32 + 3x = -22 + -32

Combine like terms: 32 + -32 = 0
0 + 3x = -22 + -32
3x = -22 + -32

Combine like terms: -22 + -32 = -54
3x = -54

Divide each side by '3'.
x = -18

Simplifying
x = -18

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