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

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


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

Reorder the terms:
3(-1 + 4x) = 4 + -6(x + -3)
(-1 * 3 + 4x * 3) = 4 + -6(x + -3)
(-3 + 12x) = 4 + -6(x + -3)

Reorder the terms:
-3 + 12x = 4 + -6(-3 + x)
-3 + 12x = 4 + (-3 * -6 + x * -6)
-3 + 12x = 4 + (18 + -6x)

Combine like terms: 4 + 18 = 22
-3 + 12x = 22 + -6x

Solving
-3 + 12x = 22 + -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.
-3 + 12x + 6x = 22 + -6x + 6x

Combine like terms: 12x + 6x = 18x
-3 + 18x = 22 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 18x = 22 + 0
-3 + 18x = 22

Add '3' to each side of the equation.
-3 + 3 + 18x = 22 + 3

Combine like terms: -3 + 3 = 0
0 + 18x = 22 + 3
18x = 22 + 3

Combine like terms: 22 + 3 = 25
18x = 25

Divide each side by '18'.
x = 1.388888889

Simplifying
x = 1.388888889

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