2(3x+2)-2(x-5)=22

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Solution for 2(3x+2)-2(x-5)=22 equation:


Simplifying
2(3x + 2) + -2(x + -5) = 22

Reorder the terms:
2(2 + 3x) + -2(x + -5) = 22
(2 * 2 + 3x * 2) + -2(x + -5) = 22
(4 + 6x) + -2(x + -5) = 22

Reorder the terms:
4 + 6x + -2(-5 + x) = 22
4 + 6x + (-5 * -2 + x * -2) = 22
4 + 6x + (10 + -2x) = 22

Reorder the terms:
4 + 10 + 6x + -2x = 22

Combine like terms: 4 + 10 = 14
14 + 6x + -2x = 22

Combine like terms: 6x + -2x = 4x
14 + 4x = 22

Solving
14 + 4x = 22

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 4x = 22 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 22 + -14
4x = 22 + -14

Combine like terms: 22 + -14 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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