5(x-2)=8x-22

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


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

Reorder the terms:
5(-2 + x) = 8x + -22
(-2 * 5 + x * 5) = 8x + -22
(-10 + 5x) = 8x + -22

Reorder the terms:
-10 + 5x = -22 + 8x

Solving
-10 + 5x = -22 + 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.
-10 + 5x + -8x = -22 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-10 + -3x = -22 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -3x = -22 + 0
-10 + -3x = -22

Add '10' to each side of the equation.
-10 + 10 + -3x = -22 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = -22 + 10
-3x = -22 + 10

Combine like terms: -22 + 10 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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