3(-x+2)-5(2x-4)=0

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Solution for 3(-x+2)-5(2x-4)=0 equation:


Simplifying
3(-1x + 2) + -5(2x + -4) = 0

Reorder the terms:
3(2 + -1x) + -5(2x + -4) = 0
(2 * 3 + -1x * 3) + -5(2x + -4) = 0
(6 + -3x) + -5(2x + -4) = 0

Reorder the terms:
6 + -3x + -5(-4 + 2x) = 0
6 + -3x + (-4 * -5 + 2x * -5) = 0
6 + -3x + (20 + -10x) = 0

Reorder the terms:
6 + 20 + -3x + -10x = 0

Combine like terms: 6 + 20 = 26
26 + -3x + -10x = 0

Combine like terms: -3x + -10x = -13x
26 + -13x = 0

Solving
26 + -13x = 0

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -13x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -13x = 0 + -26
-13x = 0 + -26

Combine like terms: 0 + -26 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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