3(x+2)-(x-2)=-2(x+3)+26

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Solution for 3(x+2)-(x-2)=-2(x+3)+26 equation:


Simplifying
3(x + 2) + -1(x + -2) = -2(x + 3) + 26

Reorder the terms:
3(2 + x) + -1(x + -2) = -2(x + 3) + 26
(2 * 3 + x * 3) + -1(x + -2) = -2(x + 3) + 26
(6 + 3x) + -1(x + -2) = -2(x + 3) + 26

Reorder the terms:
6 + 3x + -1(-2 + x) = -2(x + 3) + 26
6 + 3x + (-2 * -1 + x * -1) = -2(x + 3) + 26
6 + 3x + (2 + -1x) = -2(x + 3) + 26

Reorder the terms:
6 + 2 + 3x + -1x = -2(x + 3) + 26

Combine like terms: 6 + 2 = 8
8 + 3x + -1x = -2(x + 3) + 26

Combine like terms: 3x + -1x = 2x
8 + 2x = -2(x + 3) + 26

Reorder the terms:
8 + 2x = -2(3 + x) + 26
8 + 2x = (3 * -2 + x * -2) + 26
8 + 2x = (-6 + -2x) + 26

Reorder the terms:
8 + 2x = -6 + 26 + -2x

Combine like terms: -6 + 26 = 20
8 + 2x = 20 + -2x

Solving
8 + 2x = 20 + -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.
8 + 2x + 2x = 20 + -2x + 2x

Combine like terms: 2x + 2x = 4x
8 + 4x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 4x = 20 + 0
8 + 4x = 20

Add '-8' to each side of the equation.
8 + -8 + 4x = 20 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = 20 + -8
4x = 20 + -8

Combine like terms: 20 + -8 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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