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

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


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

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

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

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

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

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

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

Solving
-30 + 11x = -24 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-30 + 11x + -6x = -24 + 6x + -6x

Combine like terms: 11x + -6x = 5x
-30 + 5x = -24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-30 + 5x = -24 + 0
-30 + 5x = -24

Add '30' to each side of the equation.
-30 + 30 + 5x = -24 + 30

Combine like terms: -30 + 30 = 0
0 + 5x = -24 + 30
5x = -24 + 30

Combine like terms: -24 + 30 = 6
5x = 6

Divide each side by '5'.
x = 1.2

Simplifying
x = 1.2

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