4x-22=2(x-4)

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


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

Reorder the terms:
-22 + 4x = 2(x + -4)

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

Solving
-22 + 4x = -8 + 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.
-22 + 4x + -2x = -8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-22 + 2x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-22 + 2x = -8 + 0
-22 + 2x = -8

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

Combine like terms: -22 + 22 = 0
0 + 2x = -8 + 22
2x = -8 + 22

Combine like terms: -8 + 22 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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