3(x+2)-4-2(-x+2)=4(x+2)-5

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Solution for 3(x+2)-4-2(-x+2)=4(x+2)-5 equation:


Simplifying
3(x + 2) + -4 + -2(-1x + 2) = 4(x + 2) + -5

Reorder the terms:
3(2 + x) + -4 + -2(-1x + 2) = 4(x + 2) + -5
(2 * 3 + x * 3) + -4 + -2(-1x + 2) = 4(x + 2) + -5
(6 + 3x) + -4 + -2(-1x + 2) = 4(x + 2) + -5

Reorder the terms:
6 + 3x + -4 + -2(2 + -1x) = 4(x + 2) + -5
6 + 3x + -4 + (2 * -2 + -1x * -2) = 4(x + 2) + -5
6 + 3x + -4 + (-4 + 2x) = 4(x + 2) + -5

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

Combine like terms: 6 + -4 = 2
2 + -4 + 3x + 2x = 4(x + 2) + -5

Combine like terms: 2 + -4 = -2
-2 + 3x + 2x = 4(x + 2) + -5

Combine like terms: 3x + 2x = 5x
-2 + 5x = 4(x + 2) + -5

Reorder the terms:
-2 + 5x = 4(2 + x) + -5
-2 + 5x = (2 * 4 + x * 4) + -5
-2 + 5x = (8 + 4x) + -5

Reorder the terms:
-2 + 5x = 8 + -5 + 4x

Combine like terms: 8 + -5 = 3
-2 + 5x = 3 + 4x

Solving
-2 + 5x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 5x + -4x = 3 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-2 + 1x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 1x = 3 + 0
-2 + 1x = 3

Add '2' to each side of the equation.
-2 + 2 + 1x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 3 + 2
1x = 3 + 2

Combine like terms: 3 + 2 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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