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

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


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

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

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

Combine like terms: 6x + -6x = 0
-6 + 0 = 2x + -3
-6 = 2x + -3

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

Solving
-6 = -3 + 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.
-6 + -2x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + -2x = -3 + 0
-6 + -2x = -3

Add '6' to each side of the equation.
-6 + 6 + -2x = -3 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = -3 + 6
-2x = -3 + 6

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

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