3(x+2)-2(x+5)=-7

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Solution for 3(x+2)-2(x+5)=-7 equation: 


Simplifying
3(x + 2) + -2(x + 5) = -7

Reorder the terms:
3(2 + x) + -2(x + 5) = -7
(2 * 3 + x * 3) + -2(x + 5) = -7
(6 + 3x) + -2(x + 5) = -7

Reorder the terms:
6 + 3x + -2(5 + x) = -7
6 + 3x + (5 * -2 + x * -2) = -7
6 + 3x + (-10 + -2x) = -7

Reorder the terms:
6 + -10 + 3x + -2x = -7

Combine like terms: 6 + -10 = -4
-4 + 3x + -2x = -7

Combine like terms: 3x + -2x = 1x
-4 + 1x = -7

Solving
-4 + 1x = -7

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 1x = -7 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -7 + 4
1x = -7 + 4

Combine like terms: -7 + 4 = -3
1x = -3

Divide each side by '1'.
x = -3

Simplifying
x = -3

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