Solve for x
x=6
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2x\times 5=\left(3x+2\right)\times 3
Variable x cannot be equal to any of the values -\frac{2}{3},0 since division by zero is not defined. Multiply both sides of the equation by 2x\left(3x+2\right), the least common multiple of 3x+2,2x.
10x=\left(3x+2\right)\times 3
Multiply 2 and 5 to get 10.
10x=9x+6
Use the distributive property to multiply 3x+2 by 3.
10x-9x=6
Subtract 9x from both sides.
x=6
Combine 10x and -9x to get x.
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