2(x+2)-5(x-1)=13

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Solution for 2(x+2)-5(x-1)=13 equation: 


Simplifying
2(x + 2) + -5(x + -1) = 13

Reorder the terms:
2(2 + x) + -5(x + -1) = 13
(2 * 2 + x * 2) + -5(x + -1) = 13
(4 + 2x) + -5(x + -1) = 13

Reorder the terms:
4 + 2x + -5(-1 + x) = 13
4 + 2x + (-1 * -5 + x * -5) = 13
4 + 2x + (5 + -5x) = 13

Reorder the terms:
4 + 5 + 2x + -5x = 13

Combine like terms: 4 + 5 = 9
9 + 2x + -5x = 13

Combine like terms: 2x + -5x = -3x
9 + -3x = 13

Solving
9 + -3x = 13

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -3x = 13 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = 13 + -9
-3x = 13 + -9

Combine like terms: 13 + -9 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

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