\{ \frac { x - 2 } { 4 } - \frac { y - 3 } { 3 } = \frac { 1 } { 12 }
Solve for x
x=\frac{4y-5}{3}
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3\left(x-2\right)-4\left(y-3\right)=1
Multiply both sides of the equation by 12, the least common multiple of 4,3,12.
3x-6-4\left(y-3\right)=1
Use the distributive property to multiply 3 by x-2.
3x-6-4y+12=1
Use the distributive property to multiply -4 by y-3.
3x+6-4y=1
Add -6 and 12 to get 6.
3x-4y=1-6
Subtract 6 from both sides.
3x-4y=-5
Subtract 6 from 1 to get -5.
3x=-5+4y
Add 4y to both sides.
3x=4y-5
The equation is in standard form.
\frac{3x}{3}=\frac{4y-5}{3}
Divide both sides by 3.
x=\frac{4y-5}{3}
Dividing by 3 undoes the multiplication by 3.
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