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

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


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

Reorder the terms:
4(-1 + 3x) = 2(x + 3)
(-1 * 4 + 3x * 4) = 2(x + 3)
(-4 + 12x) = 2(x + 3)

Reorder the terms:
-4 + 12x = 2(3 + x)
-4 + 12x = (3 * 2 + x * 2)
-4 + 12x = (6 + 2x)

Solving
-4 + 12x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 12x + -2x = 6 + 2x + -2x

Combine like terms: 12x + -2x = 10x
-4 + 10x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 10x = 6 + 0
-4 + 10x = 6

Add '4' to each side of the equation.
-4 + 4 + 10x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 10x = 6 + 4
10x = 6 + 4

Combine like terms: 6 + 4 = 10
10x = 10

Divide each side by '10'.
x = 1

Simplifying
x = 1

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