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

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


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

Reorder the terms:
6(-4 + 3x) + -4x = 4(x + -2)
(-4 * 6 + 3x * 6) + -4x = 4(x + -2)
(-24 + 18x) + -4x = 4(x + -2)

Combine like terms: 18x + -4x = 14x
-24 + 14x = 4(x + -2)

Reorder the terms:
-24 + 14x = 4(-2 + x)
-24 + 14x = (-2 * 4 + x * 4)
-24 + 14x = (-8 + 4x)

Solving
-24 + 14x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-24 + 14x + -4x = -8 + 4x + -4x

Combine like terms: 14x + -4x = 10x
-24 + 10x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-24 + 10x = -8 + 0
-24 + 10x = -8

Add '24' to each side of the equation.
-24 + 24 + 10x = -8 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = -8 + 24
10x = -8 + 24

Combine like terms: -8 + 24 = 16
10x = 16

Divide each side by '10'.
x = 1.6

Simplifying
x = 1.6

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