6(x-3)+12=13-(x+5)

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Solution for 6(x-3)+12=13-(x+5) equation:


Simplifying
6(x + -3) + 12 = 13 + -1(x + 5)

Reorder the terms:
6(-3 + x) + 12 = 13 + -1(x + 5)
(-3 * 6 + x * 6) + 12 = 13 + -1(x + 5)
(-18 + 6x) + 12 = 13 + -1(x + 5)

Reorder the terms:
-18 + 12 + 6x = 13 + -1(x + 5)

Combine like terms: -18 + 12 = -6
-6 + 6x = 13 + -1(x + 5)

Reorder the terms:
-6 + 6x = 13 + -1(5 + x)
-6 + 6x = 13 + (5 * -1 + x * -1)
-6 + 6x = 13 + (-5 + -1x)

Combine like terms: 13 + -5 = 8
-6 + 6x = 8 + -1x

Solving
-6 + 6x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 6x + x = 8 + -1x + x

Combine like terms: 6x + x = 7x
-6 + 7x = 8 + -1x + x

Combine like terms: -1x + x = 0
-6 + 7x = 8 + 0
-6 + 7x = 8

Add '6' to each side of the equation.
-6 + 6 + 7x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 7x = 8 + 6
7x = 8 + 6

Combine like terms: 8 + 6 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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