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

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


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

Reorder the terms:
6x + 2(-2 + x) = 5(x + -6)
6x + (-2 * 2 + x * 2) = 5(x + -6)
6x + (-4 + 2x) = 5(x + -6)

Reorder the terms:
-4 + 6x + 2x = 5(x + -6)

Combine like terms: 6x + 2x = 8x
-4 + 8x = 5(x + -6)

Reorder the terms:
-4 + 8x = 5(-6 + x)
-4 + 8x = (-6 * 5 + x * 5)
-4 + 8x = (-30 + 5x)

Solving
-4 + 8x = -30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 8x + -5x = -30 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-4 + 3x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 3x = -30 + 0
-4 + 3x = -30

Add '4' to each side of the equation.
-4 + 4 + 3x = -30 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = -30 + 4
3x = -30 + 4

Combine like terms: -30 + 4 = -26
3x = -26

Divide each side by '3'.
x = -8.666666667

Simplifying
x = -8.666666667

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