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

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


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

Reorder the terms:
4(-4 + 3x) = 2(3x + 1)
(-4 * 4 + 3x * 4) = 2(3x + 1)
(-16 + 12x) = 2(3x + 1)

Reorder the terms:
-16 + 12x = 2(1 + 3x)
-16 + 12x = (1 * 2 + 3x * 2)
-16 + 12x = (2 + 6x)

Solving
-16 + 12x = 2 + 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.
-16 + 12x + -6x = 2 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-16 + 6x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-16 + 6x = 2 + 0
-16 + 6x = 2

Add '16' to each side of the equation.
-16 + 16 + 6x = 2 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 2 + 16
6x = 2 + 16

Combine like terms: 2 + 16 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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