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

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


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

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

Combine like terms: 10x + -4x = 6x
-10 + 6x = -3(2 + -1x)
-10 + 6x = (2 * -3 + -1x * -3)
-10 + 6x = (-6 + 3x)

Solving
-10 + 6x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-10 + 3x = -6 + 3x + -3x

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

Add '10' to each side of the equation.
-10 + 10 + 3x = -6 + 10

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

Combine like terms: -6 + 10 = 4
3x = 4

Divide each side by '3'.
x = 1.333333333

Simplifying
x = 1.333333333

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