3(x-2)=8x+2-5(-2x-2)

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Solution for 3(x-2)=8x+2-5(-2x-2) equation:


Simplifying
3(x + -2) = 8x + 2 + -5(-2x + -2)

Reorder the terms:
3(-2 + x) = 8x + 2 + -5(-2x + -2)
(-2 * 3 + x * 3) = 8x + 2 + -5(-2x + -2)
(-6 + 3x) = 8x + 2 + -5(-2x + -2)

Reorder the terms:
-6 + 3x = 8x + 2 + -5(-2 + -2x)
-6 + 3x = 8x + 2 + (-2 * -5 + -2x * -5)
-6 + 3x = 8x + 2 + (10 + 10x)

Reorder the terms:
-6 + 3x = 2 + 10 + 8x + 10x

Combine like terms: 2 + 10 = 12
-6 + 3x = 12 + 8x + 10x

Combine like terms: 8x + 10x = 18x
-6 + 3x = 12 + 18x

Solving
-6 + 3x = 12 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-6 + 3x + -18x = 12 + 18x + -18x

Combine like terms: 3x + -18x = -15x
-6 + -15x = 12 + 18x + -18x

Combine like terms: 18x + -18x = 0
-6 + -15x = 12 + 0
-6 + -15x = 12

Add '6' to each side of the equation.
-6 + 6 + -15x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -15x = 12 + 6
-15x = 12 + 6

Combine like terms: 12 + 6 = 18
-15x = 18

Divide each side by '-15'.
x = -1.2

Simplifying
x = -1.2

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