2*(x+3)-5*(x+2)=-1

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Solution for 2*(x+3)-5*(x+2)=-1 equation: 


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

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

Reorder the terms:
6 + 2x + -5(2 + x) = -1
6 + 2x + (2 * -5 + x * -5) = -1
6 + 2x + (-10 + -5x) = -1

Reorder the terms:
6 + -10 + 2x + -5x = -1

Combine like terms: 6 + -10 = -4
-4 + 2x + -5x = -1

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

Solving
-4 + -3x = -1

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 + -3x = -1 + 4

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

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

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

Simplifying
x = -1

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