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

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


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

Reorder the terms:
-5(-4 + 3x) + 5x = 2(x + 2)
(-4 * -5 + 3x * -5) + 5x = 2(x + 2)
(20 + -15x) + 5x = 2(x + 2)

Combine like terms: -15x + 5x = -10x
20 + -10x = 2(x + 2)

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

Solving
20 + -10x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + -10x + -2x = 4 + 2x + -2x

Combine like terms: -10x + -2x = -12x
20 + -12x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -12x = 4 + 0
20 + -12x = 4

Add '-20' to each side of the equation.
20 + -20 + -12x = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -12x = 4 + -20
-12x = 4 + -20

Combine like terms: 4 + -20 = -16
-12x = -16

Divide each side by '-12'.
x = 1.333333333

Simplifying
x = 1.333333333

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