6(2x-7)+12=-5x-5+11

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Solution for 6(2x-7)+12=-5x-5+11 equation:


Simplifying
6(2x + -7) + 12 = -5x + -5 + 11

Reorder the terms:
6(-7 + 2x) + 12 = -5x + -5 + 11
(-7 * 6 + 2x * 6) + 12 = -5x + -5 + 11
(-42 + 12x) + 12 = -5x + -5 + 11

Reorder the terms:
-42 + 12 + 12x = -5x + -5 + 11

Combine like terms: -42 + 12 = -30
-30 + 12x = -5x + -5 + 11

Reorder the terms:
-30 + 12x = -5 + 11 + -5x

Combine like terms: -5 + 11 = 6
-30 + 12x = 6 + -5x

Solving
-30 + 12x = 6 + -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.
-30 + 12x + 5x = 6 + -5x + 5x

Combine like terms: 12x + 5x = 17x
-30 + 17x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
-30 + 17x = 6 + 0
-30 + 17x = 6

Add '30' to each side of the equation.
-30 + 30 + 17x = 6 + 30

Combine like terms: -30 + 30 = 0
0 + 17x = 6 + 30
17x = 6 + 30

Combine like terms: 6 + 30 = 36
17x = 36

Divide each side by '17'.
x = 2.117647059

Simplifying
x = 2.117647059

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