Solve for x
x=13
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\left(2x-1\right)\times 3=\left(x+2\right)\times 5
Variable x cannot be equal to any of the values -2,\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by \left(2x-1\right)\left(x+2\right), the least common multiple of x+2,2x-1.
6x-3=\left(x+2\right)\times 5
Use the distributive property to multiply 2x-1 by 3.
6x-3=5x+10
Use the distributive property to multiply x+2 by 5.
6x-3-5x=10
Subtract 5x from both sides.
x-3=10
Combine 6x and -5x to get x.
x=10+3
Add 3 to both sides.
x=13
Add 10 and 3 to get 13.
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