2(x-1)+3(x+2)=-11

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Solution for 2(x-1)+3(x+2)=-11 equation:


Simplifying
2(x + -1) + 3(x + 2) = -11

Reorder the terms:
2(-1 + x) + 3(x + 2) = -11
(-1 * 2 + x * 2) + 3(x + 2) = -11
(-2 + 2x) + 3(x + 2) = -11

Reorder the terms:
-2 + 2x + 3(2 + x) = -11
-2 + 2x + (2 * 3 + x * 3) = -11
-2 + 2x + (6 + 3x) = -11

Reorder the terms:
-2 + 6 + 2x + 3x = -11

Combine like terms: -2 + 6 = 4
4 + 2x + 3x = -11

Combine like terms: 2x + 3x = 5x
4 + 5x = -11

Solving
4 + 5x = -11

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 + 5x = -11 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = -11 + -4
5x = -11 + -4

Combine like terms: -11 + -4 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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