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

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


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

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

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

Remove parenthesis around (-2 + x)
x + -4 + 2x + -2 + x = 22

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

Combine like terms: -4 + -2 = -6
-6 + x + 2x + x = 22

Combine like terms: x + 2x = 3x
-6 + 3x + x = 22

Combine like terms: 3x + x = 4x
-6 + 4x = 22

Solving
-6 + 4x = 22

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 4x = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 22 + 6
4x = 22 + 6

Combine like terms: 22 + 6 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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