4(2x-7)=2x-22

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Solution for 4(2x-7)=2x-22 equation: 


Simplifying
4(2x + -7) = 2x + -22

Reorder the terms:
4(-7 + 2x) = 2x + -22
(-7 * 4 + 2x * 4) = 2x + -22
(-28 + 8x) = 2x + -22

Reorder the terms:
-28 + 8x = -22 + 2x

Solving
-28 + 8x = -22 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-28 + 8x + -2x = -22 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-28 + 6x = -22 + 2x + -2x

Combine like terms: 2x + -2x = 0
-28 + 6x = -22 + 0
-28 + 6x = -22

Add '28' to each side of the equation.
-28 + 28 + 6x = -22 + 28

Combine like terms: -28 + 28 = 0
0 + 6x = -22 + 28
6x = -22 + 28

Combine like terms: -22 + 28 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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