5x-2=2(-3x+6)

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Solution for 5x-2=2(-3x+6) equation:


Simplifying
5x + -2 = 2(-3x + 6)

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

Reorder the terms:
-2 + 5x = 2(6 + -3x)
-2 + 5x = (6 * 2 + -3x * 2)
-2 + 5x = (12 + -6x)

Solving
-2 + 5x = 12 + -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.
-2 + 5x + 6x = 12 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-2 + 11x = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-2 + 11x = 12 + 0
-2 + 11x = 12

Add '2' to each side of the equation.
-2 + 2 + 11x = 12 + 2

Combine like terms: -2 + 2 = 0
0 + 11x = 12 + 2
11x = 12 + 2

Combine like terms: 12 + 2 = 14
11x = 14

Divide each side by '11'.
x = 1.272727273

Simplifying
x = 1.272727273

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