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

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


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

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

Reorder the terms:
3 + 6x + -4(-2 + x) = 12
3 + 6x + (-2 * -4 + x * -4) = 12
3 + 6x + (8 + -4x) = 12

Reorder the terms:
3 + 8 + 6x + -4x = 12

Combine like terms: 3 + 8 = 11
11 + 6x + -4x = 12

Combine like terms: 6x + -4x = 2x
11 + 2x = 12

Solving
11 + 2x = 12

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 2x = 12 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 12 + -11
2x = 12 + -11

Combine like terms: 12 + -11 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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