-6(x+2)=4x-8+2(2x+3)

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Solution for -6(x+2)=4x-8+2(2x+3) equation:


Simplifying
-6(x + 2) = 4x + -8 + 2(2x + 3)

Reorder the terms:
-6(2 + x) = 4x + -8 + 2(2x + 3)
(2 * -6 + x * -6) = 4x + -8 + 2(2x + 3)
(-12 + -6x) = 4x + -8 + 2(2x + 3)

Reorder the terms:
-12 + -6x = 4x + -8 + 2(3 + 2x)
-12 + -6x = 4x + -8 + (3 * 2 + 2x * 2)
-12 + -6x = 4x + -8 + (6 + 4x)

Reorder the terms:
-12 + -6x = -8 + 6 + 4x + 4x

Combine like terms: -8 + 6 = -2
-12 + -6x = -2 + 4x + 4x

Combine like terms: 4x + 4x = 8x
-12 + -6x = -2 + 8x

Solving
-12 + -6x = -2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-12 + -6x + -8x = -2 + 8x + -8x

Combine like terms: -6x + -8x = -14x
-12 + -14x = -2 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + -14x = -2 + 0
-12 + -14x = -2

Add '12' to each side of the equation.
-12 + 12 + -14x = -2 + 12

Combine like terms: -12 + 12 = 0
0 + -14x = -2 + 12
-14x = -2 + 12

Combine like terms: -2 + 12 = 10
-14x = 10

Divide each side by '-14'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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