Solve for x
x=2
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5\left(x+2\right)+4\left(x+3\right)=40
Multiply both sides of the equation by 20, the least common multiple of 4,5.
5x+10+4\left(x+3\right)=40
Use the distributive property to multiply 5 by x+2.
5x+10+4x+12=40
Use the distributive property to multiply 4 by x+3.
9x+10+12=40
Combine 5x and 4x to get 9x.
9x+22=40
Add 10 and 12 to get 22.
9x=40-22
Subtract 22 from both sides.
9x=18
Subtract 22 from 40 to get 18.
x=\frac{18}{9}
Divide both sides by 9.
x=2
Divide 18 by 9 to get 2.
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