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

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

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

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

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

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

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

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

Reorder the terms:
-30 + 11x = 6(-4 + x) + 8(2x + 1)
-30 + 11x = (-4 * 6 + x * 6) + 8(2x + 1)
-30 + 11x = (-24 + 6x) + 8(2x + 1)

Reorder the terms:
-30 + 11x = -24 + 6x + 8(1 + 2x)
-30 + 11x = -24 + 6x + (1 * 8 + 2x * 8)
-30 + 11x = -24 + 6x + (8 + 16x)

Reorder the terms:
-30 + 11x = -24 + 8 + 6x + 16x

Combine like terms: -24 + 8 = -16
-30 + 11x = -16 + 6x + 16x

Combine like terms: 6x + 16x = 22x
-30 + 11x = -16 + 22x

Solving
-30 + 11x = -16 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-30 + 11x + -22x = -16 + 22x + -22x

Combine like terms: 11x + -22x = -11x
-30 + -11x = -16 + 22x + -22x

Combine like terms: 22x + -22x = 0
-30 + -11x = -16 + 0
-30 + -11x = -16

Add '30' to each side of the equation.
-30 + 30 + -11x = -16 + 30

Combine like terms: -30 + 30 = 0
0 + -11x = -16 + 30
-11x = -16 + 30

Combine like terms: -16 + 30 = 14
-11x = 14

Divide each side by '-11'.
x = -1.272727273

Simplifying
x = -1.272727273