6(5x+6)-6(x-3)=2x-114+x

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Solution for 6(5x+6)-6(x-3)=2x-114+x equation:


Simplifying
6(5x + 6) + -6(x + -3) = 2x + -114 + x

Reorder the terms:
6(6 + 5x) + -6(x + -3) = 2x + -114 + x
(6 * 6 + 5x * 6) + -6(x + -3) = 2x + -114 + x
(36 + 30x) + -6(x + -3) = 2x + -114 + x

Reorder the terms:
36 + 30x + -6(-3 + x) = 2x + -114 + x
36 + 30x + (-3 * -6 + x * -6) = 2x + -114 + x
36 + 30x + (18 + -6x) = 2x + -114 + x

Reorder the terms:
36 + 18 + 30x + -6x = 2x + -114 + x

Combine like terms: 36 + 18 = 54
54 + 30x + -6x = 2x + -114 + x

Combine like terms: 30x + -6x = 24x
54 + 24x = 2x + -114 + x

Reorder the terms:
54 + 24x = -114 + 2x + x

Combine like terms: 2x + x = 3x
54 + 24x = -114 + 3x

Solving
54 + 24x = -114 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
54 + 24x + -3x = -114 + 3x + -3x

Combine like terms: 24x + -3x = 21x
54 + 21x = -114 + 3x + -3x

Combine like terms: 3x + -3x = 0
54 + 21x = -114 + 0
54 + 21x = -114

Add '-54' to each side of the equation.
54 + -54 + 21x = -114 + -54

Combine like terms: 54 + -54 = 0
0 + 21x = -114 + -54
21x = -114 + -54

Combine like terms: -114 + -54 = -168
21x = -168

Divide each side by '21'.
x = -8

Simplifying
x = -8

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