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

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


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

Reorder the terms:
2(-2 + x) + -5(x + 3) = -5
(-2 * 2 + x * 2) + -5(x + 3) = -5
(-4 + 2x) + -5(x + 3) = -5

Reorder the terms:
-4 + 2x + -5(3 + x) = -5
-4 + 2x + (3 * -5 + x * -5) = -5
-4 + 2x + (-15 + -5x) = -5

Reorder the terms:
-4 + -15 + 2x + -5x = -5

Combine like terms: -4 + -15 = -19
-19 + 2x + -5x = -5

Combine like terms: 2x + -5x = -3x
-19 + -3x = -5

Solving
-19 + -3x = -5

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + -3x = -5 + 19

Combine like terms: -19 + 19 = 0
0 + -3x = -5 + 19
-3x = -5 + 19

Combine like terms: -5 + 19 = 14
-3x = 14

Divide each side by '-3'.
x = -4.666666667

Simplifying
x = -4.666666667

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