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

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


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

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

Reorder the terms:
-3 + 2x + -12y = 12

Solving
-3 + 2x + -12y = 12

Solving for variable 'x'.

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

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

Reorder the terms:
-3 + 3 + 2x + -12y = 12 + 3

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

Combine like terms: 12 + 3 = 15
2x + -12y = 15

Add '12y' to each side of the equation.
2x + -12y + 12y = 15 + 12y

Combine like terms: -12y + 12y = 0
2x + 0 = 15 + 12y
2x = 15 + 12y

Divide each side by '2'.
x = 7.5 + 6y

Simplifying
x = 7.5 + 6y

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