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

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


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

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

Reorder the terms:
-12 + 2 + 12x = 5x + -3

Combine like terms: -12 + 2 = -10
-10 + 12x = 5x + -3

Reorder the terms:
-10 + 12x = -3 + 5x

Solving
-10 + 12x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 12x + -5x = -3 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-10 + 7x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 7x = -3 + 0
-10 + 7x = -3

Add '10' to each side of the equation.
-10 + 10 + 7x = -3 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = -3 + 10
7x = -3 + 10

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

Divide each side by '7'.
x = 1

Simplifying
x = 1

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