2(x-5)-(3x+6)=-13

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Solution for 2(x-5)-(3x+6)=-13 equation:


Simplifying
2(x + -5) + -1(3x + 6) = -13

Reorder the terms:
2(-5 + x) + -1(3x + 6) = -13
(-5 * 2 + x * 2) + -1(3x + 6) = -13
(-10 + 2x) + -1(3x + 6) = -13

Reorder the terms:
-10 + 2x + -1(6 + 3x) = -13
-10 + 2x + (6 * -1 + 3x * -1) = -13
-10 + 2x + (-6 + -3x) = -13

Reorder the terms:
-10 + -6 + 2x + -3x = -13

Combine like terms: -10 + -6 = -16
-16 + 2x + -3x = -13

Combine like terms: 2x + -3x = -1x
-16 + -1x = -13

Solving
-16 + -1x = -13

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -1x = -13 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -13 + 16
-1x = -13 + 16

Combine like terms: -13 + 16 = 3
-1x = 3

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

Simplifying
x = -3

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