Solve for x
x=2
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5\left(x+2\right)=4\left(x+3\right)
Variable x cannot be equal to -3 since division by zero is not defined. Multiply both sides of the equation by 5\left(x+3\right), the least common multiple of x+3,5.
5x+10=4\left(x+3\right)
Use the distributive property to multiply 5 by x+2.
5x+10=4x+12
Use the distributive property to multiply 4 by x+3.
5x+10-4x=12
Subtract 4x from both sides.
x+10=12
Combine 5x and -4x to get x.
x=12-10
Subtract 10 from both sides.
x=2
Subtract 10 from 12 to get 2.
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