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

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


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

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

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

Reorder the terms:
10 + -6 + -10x + 3x = -2

Combine like terms: 10 + -6 = 4
4 + -10x + 3x = -2

Combine like terms: -10x + 3x = -7x
4 + -7x = -2

Solving
4 + -7x = -2

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + -7x = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -2 + -4
-7x = -2 + -4

Combine like terms: -2 + -4 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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