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

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


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

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

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

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

Multiply 2 * 4
-6 + 6x = 8(-1 + 3x)
-6 + 6x = (-1 * 8 + 3x * 8)
-6 + 6x = (-8 + 24x)

Solving
-6 + 6x = -8 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
-6 + 6x + -24x = -8 + 24x + -24x

Combine like terms: 6x + -24x = -18x
-6 + -18x = -8 + 24x + -24x

Combine like terms: 24x + -24x = 0
-6 + -18x = -8 + 0
-6 + -18x = -8

Add '6' to each side of the equation.
-6 + 6 + -18x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -18x = -8 + 6
-18x = -8 + 6

Combine like terms: -8 + 6 = -2
-18x = -2

Divide each side by '-18'.
x = 0.1111111111

Simplifying
x = 0.1111111111

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