6(x+2)=x-3

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


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

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

Reorder the terms:
12 + 6x = -3 + x

Solving
12 + 6x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 6x + -1x = -3 + x + -1x

Combine like terms: 6x + -1x = 5x
12 + 5x = -3 + x + -1x

Combine like terms: x + -1x = 0
12 + 5x = -3 + 0
12 + 5x = -3

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

Combine like terms: 12 + -12 = 0
0 + 5x = -3 + -12
5x = -3 + -12

Combine like terms: -3 + -12 = -15
5x = -15

Divide each side by '5'.
x = -3

Simplifying
x = -3

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