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

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


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

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

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

Solving
-3 + 6x = 24 + 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.
-3 + 6x + -4x = 24 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-3 + 2x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 2x = 24 + 0
-3 + 2x = 24

Add '3' to each side of the equation.
-3 + 3 + 2x = 24 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 24 + 3
2x = 24 + 3

Combine like terms: 24 + 3 = 27
2x = 27

Divide each side by '2'.
x = 13.5

Simplifying
x = 13.5

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