Solve for x
x=10
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\left(x-1\right)\times 4=\left(x+2\right)\times 3
Variable x cannot be equal to any of the values -2,1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(x+2\right), the least common multiple of x+2,x-1.
4x-4=\left(x+2\right)\times 3
Use the distributive property to multiply x-1 by 4.
4x-4=3x+6
Use the distributive property to multiply x+2 by 3.
4x-4-3x=6
Subtract 3x from both sides.
x-4=6
Combine 4x and -3x to get x.
x=6+4
Add 4 to both sides.
x=10
Add 6 and 4 to get 10.
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