Solve for x
x=-50
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6\left(x+4\right)+3\left(3x+2\right)=10\left(x-1\right)-210
Multiply both sides of the equation by 30, the least common multiple of 5,10,3.
6x+24+3\left(3x+2\right)=10\left(x-1\right)-210
Use the distributive property to multiply 6 by x+4.
6x+24+9x+6=10\left(x-1\right)-210
Use the distributive property to multiply 3 by 3x+2.
15x+24+6=10\left(x-1\right)-210
Combine 6x and 9x to get 15x.
15x+30=10\left(x-1\right)-210
Add 24 and 6 to get 30.
15x+30=10x-10-210
Use the distributive property to multiply 10 by x-1.
15x+30=10x-220
Subtract 210 from -10 to get -220.
15x+30-10x=-220
Subtract 10x from both sides.
5x+30=-220
Combine 15x and -10x to get 5x.
5x=-220-30
Subtract 30 from both sides.
5x=-250
Subtract 30 from -220 to get -250.
x=\frac{-250}{5}
Divide both sides by 5.
x=-50
Divide -250 by 5 to get -50.
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