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

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


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

Reorder the terms:
3(3 + x) + -2(x + 2) = -4
(3 * 3 + x * 3) + -2(x + 2) = -4
(9 + 3x) + -2(x + 2) = -4

Reorder the terms:
9 + 3x + -2(2 + x) = -4
9 + 3x + (2 * -2 + x * -2) = -4
9 + 3x + (-4 + -2x) = -4

Reorder the terms:
9 + -4 + 3x + -2x = -4

Combine like terms: 9 + -4 = 5
5 + 3x + -2x = -4

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

Solving
5 + 1x = -4

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 1x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = -4 + -5
1x = -4 + -5

Combine like terms: -4 + -5 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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