5x-22=8(x-2)

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Solution for 5x-22=8(x-2) equation:


Simplifying
5x + -22 = 8(x + -2)

Reorder the terms:
-22 + 5x = 8(x + -2)

Reorder the terms:
-22 + 5x = 8(-2 + x)
-22 + 5x = (-2 * 8 + x * 8)
-22 + 5x = (-16 + 8x)

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

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-22 + 5x + -8x = -16 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-22 + -3x = -16 + 0
-22 + -3x = -16

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

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

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

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

Simplifying
x = -2

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