6(2x-7)+12x=-5(x-1)+11

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Solution for 6(2x-7)+12x=-5(x-1)+11 equation:


Simplifying
6(2x + -7) + 12x = -5(x + -1) + 11

Reorder the terms:
6(-7 + 2x) + 12x = -5(x + -1) + 11
(-7 * 6 + 2x * 6) + 12x = -5(x + -1) + 11
(-42 + 12x) + 12x = -5(x + -1) + 11

Combine like terms: 12x + 12x = 24x
-42 + 24x = -5(x + -1) + 11

Reorder the terms:
-42 + 24x = -5(-1 + x) + 11
-42 + 24x = (-1 * -5 + x * -5) + 11
-42 + 24x = (5 + -5x) + 11

Reorder the terms:
-42 + 24x = 5 + 11 + -5x

Combine like terms: 5 + 11 = 16
-42 + 24x = 16 + -5x

Solving
-42 + 24x = 16 + -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.
-42 + 24x + 5x = 16 + -5x + 5x

Combine like terms: 24x + 5x = 29x
-42 + 29x = 16 + -5x + 5x

Combine like terms: -5x + 5x = 0
-42 + 29x = 16 + 0
-42 + 29x = 16

Add '42' to each side of the equation.
-42 + 42 + 29x = 16 + 42

Combine like terms: -42 + 42 = 0
0 + 29x = 16 + 42
29x = 16 + 42

Combine like terms: 16 + 42 = 58
29x = 58

Divide each side by '29'.
x = 2

Simplifying
x = 2

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