Solve for x
x = \frac{23}{3} = 7\frac{2}{3} \approx 7.666666667
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Linear Equation
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\frac { x - 2 } { 3 } = \frac { x } { 12 } + \frac { 5 } { 4 }
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4\left(x-2\right)=x+15
Multiply both sides of the equation by 12, the least common multiple of 3,12,4.
4x-8=x+15
Use the distributive property to multiply 4 by x-2.
4x-8-x=15
Subtract x from both sides.
3x-8=15
Combine 4x and -x to get 3x.
3x=15+8
Add 8 to both sides.
3x=23
Add 15 and 8 to get 23.
x=\frac{23}{3}
Divide both sides by 3.
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