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 = -16
-16 + 8x = 5x + -22

Reorder the terms:
-16 + 8x = -22 + 5x

Solving
-16 + 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.
-16 + 8x + -5x = -22 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-16 + 3x = -22 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + 3x = -22 + 0
-16 + 3x = -22

Add '16' to each side of the equation.
-16 + 16 + 3x = -22 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = -22 + 16
3x = -22 + 16

Combine like terms: -22 + 16 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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