-(3x+4)-(-2x-6)=13

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Solution for -(3x+4)-(-2x-6)=13 equation:


Simplifying
-1(3x + 4) + -1(-2x + -6) = 13

Reorder the terms:
-1(4 + 3x) + -1(-2x + -6) = 13
(4 * -1 + 3x * -1) + -1(-2x + -6) = 13
(-4 + -3x) + -1(-2x + -6) = 13

Reorder the terms:
-4 + -3x + -1(-6 + -2x) = 13
-4 + -3x + (-6 * -1 + -2x * -1) = 13
-4 + -3x + (6 + 2x) = 13

Reorder the terms:
-4 + 6 + -3x + 2x = 13

Combine like terms: -4 + 6 = 2
2 + -3x + 2x = 13

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

Solving
2 + -1x = 13

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 13 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 13 + -2
-1x = 13 + -2

Combine like terms: 13 + -2 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11

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