Solve for x
x=-13
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20\left(x+7\right)+15\left(x+5\right)=12\left(x+3\right)+10\left(x+1\right)
Multiply both sides of the equation by 60, the least common multiple of 3,4,5,6.
20x+140+15\left(x+5\right)=12\left(x+3\right)+10\left(x+1\right)
Use the distributive property to multiply 20 by x+7.
20x+140+15x+75=12\left(x+3\right)+10\left(x+1\right)
Use the distributive property to multiply 15 by x+5.
35x+140+75=12\left(x+3\right)+10\left(x+1\right)
Combine 20x and 15x to get 35x.
35x+215=12\left(x+3\right)+10\left(x+1\right)
Add 140 and 75 to get 215.
35x+215=12x+36+10\left(x+1\right)
Use the distributive property to multiply 12 by x+3.
35x+215=12x+36+10x+10
Use the distributive property to multiply 10 by x+1.
35x+215=22x+36+10
Combine 12x and 10x to get 22x.
35x+215=22x+46
Add 36 and 10 to get 46.
35x+215-22x=46
Subtract 22x from both sides.
13x+215=46
Combine 35x and -22x to get 13x.
13x=46-215
Subtract 215 from both sides.
13x=-169
Subtract 215 from 46 to get -169.
x=\frac{-169}{13}
Divide both sides by 13.
x=-13
Divide -169 by 13 to get -13.
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