-(-2x+5)-2(3x-4)=-13

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Solution for -(-2x+5)-2(3x-4)=-13 equation:


Simplifying
-1(-2x + 5) + -2(3x + -4) = -13

Reorder the terms:
-1(5 + -2x) + -2(3x + -4) = -13
(5 * -1 + -2x * -1) + -2(3x + -4) = -13
(-5 + 2x) + -2(3x + -4) = -13

Reorder the terms:
-5 + 2x + -2(-4 + 3x) = -13
-5 + 2x + (-4 * -2 + 3x * -2) = -13
-5 + 2x + (8 + -6x) = -13

Reorder the terms:
-5 + 8 + 2x + -6x = -13

Combine like terms: -5 + 8 = 3
3 + 2x + -6x = -13

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

Solving
3 + -4x = -13

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + -4x = -13 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -13 + -3
-4x = -13 + -3

Combine like terms: -13 + -3 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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