3(x+2)=7(x-2)-2x

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Solution for 3(x+2)=7(x-2)-2x equation:


Simplifying
3(x + 2) = 7(x + -2) + -2x

Reorder the terms:
3(2 + x) = 7(x + -2) + -2x
(2 * 3 + x * 3) = 7(x + -2) + -2x
(6 + 3x) = 7(x + -2) + -2x

Reorder the terms:
6 + 3x = 7(-2 + x) + -2x
6 + 3x = (-2 * 7 + x * 7) + -2x
6 + 3x = (-14 + 7x) + -2x

Combine like terms: 7x + -2x = 5x
6 + 3x = -14 + 5x

Solving
6 + 3x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 3x + -5x = -14 + 5x + -5x

Combine like terms: 3x + -5x = -2x
6 + -2x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -2x = -14 + 0
6 + -2x = -14

Add '-6' to each side of the equation.
6 + -6 + -2x = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -14 + -6
-2x = -14 + -6

Combine like terms: -14 + -6 = -20
-2x = -20

Divide each side by '-2'.
x = 10

Simplifying
x = 10

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