Solve for x
x=-12
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5\left(x+5\right)-3\left(3+2x\right)+15=7-3x
Multiply both sides of the equation by 15, the least common multiple of 3,5,15.
5x+25-3\left(3+2x\right)+15=7-3x
Use the distributive property to multiply 5 by x+5.
5x+25-9-6x+15=7-3x
Use the distributive property to multiply -3 by 3+2x.
5x+16-6x+15=7-3x
Subtract 9 from 25 to get 16.
-x+16+15=7-3x
Combine 5x and -6x to get -x.
-x+31=7-3x
Add 16 and 15 to get 31.
-x+31+3x=7
Add 3x to both sides.
2x+31=7
Combine -x and 3x to get 2x.
2x=7-31
Subtract 31 from both sides.
2x=-24
Subtract 31 from 7 to get -24.
x=\frac{-24}{2}
Divide both sides by 2.
x=-12
Divide -24 by 2 to get -12.
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