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

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


Simplifying
4(5 + -3x) = 2(5x + -4) + 2(3 + -1x)
(5 * 4 + -3x * 4) = 2(5x + -4) + 2(3 + -1x)
(20 + -12x) = 2(5x + -4) + 2(3 + -1x)

Reorder the terms:
20 + -12x = 2(-4 + 5x) + 2(3 + -1x)
20 + -12x = (-4 * 2 + 5x * 2) + 2(3 + -1x)
20 + -12x = (-8 + 10x) + 2(3 + -1x)
20 + -12x = -8 + 10x + (3 * 2 + -1x * 2)
20 + -12x = -8 + 10x + (6 + -2x)

Reorder the terms:
20 + -12x = -8 + 6 + 10x + -2x

Combine like terms: -8 + 6 = -2
20 + -12x = -2 + 10x + -2x

Combine like terms: 10x + -2x = 8x
20 + -12x = -2 + 8x

Solving
20 + -12x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + -12x + -8x = -2 + 8x + -8x

Combine like terms: -12x + -8x = -20x
20 + -20x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -20x = -2 + 0
20 + -20x = -2

Add '-20' to each side of the equation.
20 + -20 + -20x = -2 + -20

Combine like terms: 20 + -20 = 0
0 + -20x = -2 + -20
-20x = -2 + -20

Combine like terms: -2 + -20 = -22
-20x = -22

Divide each side by '-20'.
x = 1.1

Simplifying
x = 1.1

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