(x-3)+(x-3)+2x=22

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Solution for (x-3)+(x-3)+2x=22 equation:


Simplifying
(x + -3) + (x + -3) + 2x = 22

Reorder the terms:
(-3 + x) + (x + -3) + 2x = 22

Remove parenthesis around (-3 + x)
-3 + x + (x + -3) + 2x = 22

Reorder the terms:
-3 + x + (-3 + x) + 2x = 22

Remove parenthesis around (-3 + x)
-3 + x + -3 + x + 2x = 22

Reorder the terms:
-3 + -3 + x + x + 2x = 22

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

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

Combine like terms: 2x + 2x = 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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