12x+8-15=-2(3x-82)

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Solution for 12x+8-15=-2(3x-82) equation:


Simplifying
12x + 8 + -15 = -2(3x + -82)

Reorder the terms:
8 + -15 + 12x = -2(3x + -82)

Combine like terms: 8 + -15 = -7
-7 + 12x = -2(3x + -82)

Reorder the terms:
-7 + 12x = -2(-82 + 3x)
-7 + 12x = (-82 * -2 + 3x * -2)
-7 + 12x = (164 + -6x)

Solving
-7 + 12x = 164 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-7 + 12x + 6x = 164 + -6x + 6x

Combine like terms: 12x + 6x = 18x
-7 + 18x = 164 + -6x + 6x

Combine like terms: -6x + 6x = 0
-7 + 18x = 164 + 0
-7 + 18x = 164

Add '7' to each side of the equation.
-7 + 7 + 18x = 164 + 7

Combine like terms: -7 + 7 = 0
0 + 18x = 164 + 7
18x = 164 + 7

Combine like terms: 164 + 7 = 171
18x = 171

Divide each side by '18'.
x = 9.5

Simplifying
x = 9.5

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