2x+6(x-1)=12-8(2x+3)

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Solution for 2x+6(x-1)=12-8(2x+3) equation:


Simplifying
2x + 6(x + -1) = 12 + -8(2x + 3)

Reorder the terms:
2x + 6(-1 + x) = 12 + -8(2x + 3)
2x + (-1 * 6 + x * 6) = 12 + -8(2x + 3)
2x + (-6 + 6x) = 12 + -8(2x + 3)

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

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

Reorder the terms:
-6 + 8x = 12 + -8(3 + 2x)
-6 + 8x = 12 + (3 * -8 + 2x * -8)
-6 + 8x = 12 + (-24 + -16x)

Combine like terms: 12 + -24 = -12
-6 + 8x = -12 + -16x

Solving
-6 + 8x = -12 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-6 + 8x + 16x = -12 + -16x + 16x

Combine like terms: 8x + 16x = 24x
-6 + 24x = -12 + -16x + 16x

Combine like terms: -16x + 16x = 0
-6 + 24x = -12 + 0
-6 + 24x = -12

Add '6' to each side of the equation.
-6 + 6 + 24x = -12 + 6

Combine like terms: -6 + 6 = 0
0 + 24x = -12 + 6
24x = -12 + 6

Combine like terms: -12 + 6 = -6
24x = -6

Divide each side by '24'.
x = -0.25

Simplifying
x = -0.25

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