3(x-2)+4(2x-6)=6(2-4)+8(2x+1)

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Solution for 3(x-2)+4(2x-6)=6(2-4)+8(2x+1) equation: 


Simplifying
3(x + -2) + 4(2x + -6) = 6(2 + -4) + 8(2x + 1)

Reorder the terms:
3(-2 + x) + 4(2x + -6) = 6(2 + -4) + 8(2x + 1)
(-2 * 3 + x * 3) + 4(2x + -6) = 6(2 + -4) + 8(2x + 1)
(-6 + 3x) + 4(2x + -6) = 6(2 + -4) + 8(2x + 1)

Reorder the terms:
-6 + 3x + 4(-6 + 2x) = 6(2 + -4) + 8(2x + 1)
-6 + 3x + (-6 * 4 + 2x * 4) = 6(2 + -4) + 8(2x + 1)
-6 + 3x + (-24 + 8x) = 6(2 + -4) + 8(2x + 1)

Reorder the terms:
-6 + -24 + 3x + 8x = 6(2 + -4) + 8(2x + 1)

Combine like terms: -6 + -24 = -30
-30 + 3x + 8x = 6(2 + -4) + 8(2x + 1)

Combine like terms: 3x + 8x = 11x
-30 + 11x = 6(2 + -4) + 8(2x + 1)

Combine like terms: 2 + -4 = -2
-30 + 11x = 6(-2) + 8(2x + 1)

Multiply 6 * -2
-30 + 11x = -12 + 8(2x + 1)

Reorder the terms:
-30 + 11x = -12 + 8(1 + 2x)
-30 + 11x = -12 + (1 * 8 + 2x * 8)
-30 + 11x = -12 + (8 + 16x)

Combine like terms: -12 + 8 = -4
-30 + 11x = -4 + 16x

Solving
-30 + 11x = -4 + 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.
-30 + 11x + -16x = -4 + 16x + -16x

Combine like terms: 11x + -16x = -5x
-30 + -5x = -4 + 16x + -16x

Combine like terms: 16x + -16x = 0
-30 + -5x = -4 + 0
-30 + -5x = -4

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

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

Combine like terms: -4 + 30 = 26
-5x = 26

Divide each side by '-5'.
x = -5.2

Simplifying
x = -5.2

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