-2(x-6)-93=8x-7(x+3)

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Solution for -2(x-6)-93=8x-7(x+3) equation:


Simplifying
-2(x + -6) + -93 = 8x + -7(x + 3)

Reorder the terms:
-2(-6 + x) + -93 = 8x + -7(x + 3)
(-6 * -2 + x * -2) + -93 = 8x + -7(x + 3)
(12 + -2x) + -93 = 8x + -7(x + 3)

Reorder the terms:
12 + -93 + -2x = 8x + -7(x + 3)

Combine like terms: 12 + -93 = -81
-81 + -2x = 8x + -7(x + 3)

Reorder the terms:
-81 + -2x = 8x + -7(3 + x)
-81 + -2x = 8x + (3 * -7 + x * -7)
-81 + -2x = 8x + (-21 + -7x)

Reorder the terms:
-81 + -2x = -21 + 8x + -7x

Combine like terms: 8x + -7x = 1x
-81 + -2x = -21 + 1x

Solving
-81 + -2x = -21 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-81 + -2x + -1x = -21 + 1x + -1x

Combine like terms: -2x + -1x = -3x
-81 + -3x = -21 + 1x + -1x

Combine like terms: 1x + -1x = 0
-81 + -3x = -21 + 0
-81 + -3x = -21

Add '81' to each side of the equation.
-81 + 81 + -3x = -21 + 81

Combine like terms: -81 + 81 = 0
0 + -3x = -21 + 81
-3x = -21 + 81

Combine like terms: -21 + 81 = 60
-3x = 60

Divide each side by '-3'.
x = -20

Simplifying
x = -20

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