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

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


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

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

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

Combine like terms: 10x + -4x = 6x
10 + -6x = -20 + 6x

Solving
10 + -6x = -20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + -6x + -6x = -20 + 6x + -6x

Combine like terms: -6x + -6x = -12x
10 + -12x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -12x = -20 + 0
10 + -12x = -20

Add '-10' to each side of the equation.
10 + -10 + -12x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -12x = -20 + -10
-12x = -20 + -10

Combine like terms: -20 + -10 = -30
-12x = -30

Divide each side by '-12'.
x = 2.5

Simplifying
x = 2.5

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