3(2x+1)=4x+12

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Solution for 3(2x+1)=4x+12 equation:


Simplifying
3(2x + 1) = 4x + 12

Reorder the terms:
3(1 + 2x) = 4x + 12
(1 * 3 + 2x * 3) = 4x + 12
(3 + 6x) = 4x + 12

Reorder the terms:
3 + 6x = 12 + 4x

Solving
3 + 6x = 12 + 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 = 12 + 4x + -4x

Combine like terms: 6x + -4x = 2x
3 + 2x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + 2x = 12 + 0
3 + 2x = 12

Add '-3' to each side of the equation.
3 + -3 + 2x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 12 + -3
2x = 12 + -3

Combine like terms: 12 + -3 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

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