Solve for x
x=5
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Linear Equation
5 problems similar to:
\frac{ x+2 }{ 2x-2 } - \frac{ 2x }{ 3x-3 } = \frac{ 1 }{ 24 }
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12\left(x+2\right)-8\times 2x=x-1
Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by 24\left(x-1\right), the least common multiple of 2x-2,3x-3,24.
12x+24-8\times 2x=x-1
Use the distributive property to multiply 12 by x+2.
12x+24-16x=x-1
Multiply -8 and 2 to get -16.
-4x+24=x-1
Combine 12x and -16x to get -4x.
-4x+24-x=-1
Subtract x from both sides.
-5x+24=-1
Combine -4x and -x to get -5x.
-5x=-1-24
Subtract 24 from both sides.
-5x=-25
Subtract 24 from -1 to get -25.
x=\frac{-25}{-5}
Divide both sides by -5.
x=5
Divide -25 by -5 to get 5.
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