-1+6(3x-3)=7(8+x)+2

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Solution for -1+6(3x-3)=7(8+x)+2 equation:


Simplifying
-1 + 6(3x + -3) = 7(8 + x) + 2

Reorder the terms:
-1 + 6(-3 + 3x) = 7(8 + x) + 2
-1 + (-3 * 6 + 3x * 6) = 7(8 + x) + 2
-1 + (-18 + 18x) = 7(8 + x) + 2

Combine like terms: -1 + -18 = -19
-19 + 18x = 7(8 + x) + 2
-19 + 18x = (8 * 7 + x * 7) + 2
-19 + 18x = (56 + 7x) + 2

Reorder the terms:
-19 + 18x = 56 + 2 + 7x

Combine like terms: 56 + 2 = 58
-19 + 18x = 58 + 7x

Solving
-19 + 18x = 58 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-19 + 18x + -7x = 58 + 7x + -7x

Combine like terms: 18x + -7x = 11x
-19 + 11x = 58 + 7x + -7x

Combine like terms: 7x + -7x = 0
-19 + 11x = 58 + 0
-19 + 11x = 58

Add '19' to each side of the equation.
-19 + 19 + 11x = 58 + 19

Combine like terms: -19 + 19 = 0
0 + 11x = 58 + 19
11x = 58 + 19

Combine like terms: 58 + 19 = 77
11x = 77

Divide each side by '11'.
x = 7

Simplifying
x = 7

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