6(2x-3)=-(3+x)+11

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Solution for 6(2x-3)=-(3+x)+11 equation:


Simplifying
6(2x + -3) = -1(3 + x) + 11

Reorder the terms:
6(-3 + 2x) = -1(3 + x) + 11
(-3 * 6 + 2x * 6) = -1(3 + x) + 11
(-18 + 12x) = -1(3 + x) + 11
-18 + 12x = (3 * -1 + x * -1) + 11
-18 + 12x = (-3 + -1x) + 11

Reorder the terms:
-18 + 12x = -3 + 11 + -1x

Combine like terms: -3 + 11 = 8
-18 + 12x = 8 + -1x

Solving
-18 + 12x = 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.
-18 + 12x + x = 8 + -1x + x

Combine like terms: 12x + x = 13x
-18 + 13x = 8 + -1x + x

Combine like terms: -1x + x = 0
-18 + 13x = 8 + 0
-18 + 13x = 8

Add '18' to each side of the equation.
-18 + 18 + 13x = 8 + 18

Combine like terms: -18 + 18 = 0
0 + 13x = 8 + 18
13x = 8 + 18

Combine like terms: 8 + 18 = 26
13x = 26

Divide each side by '13'.
x = 2

Simplifying
x = 2

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