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

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


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

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

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

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

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

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

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

Solving
3 + 3x = 1 + 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.
3 + 3x + -2x = 1 + 2x + -2x

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

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

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

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

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

Divide each side by '1'.
x = -2

Simplifying
x = -2

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