Solve for x
x=-2
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21\left(4x+3\right)-15\left(6x-2\right)=35\left(5x+4\right)+315
Multiply both sides of the equation by 105, the least common multiple of 5,7,3.
84x+63-15\left(6x-2\right)=35\left(5x+4\right)+315
Use the distributive property to multiply 21 by 4x+3.
84x+63-90x+30=35\left(5x+4\right)+315
Use the distributive property to multiply -15 by 6x-2.
-6x+63+30=35\left(5x+4\right)+315
Combine 84x and -90x to get -6x.
-6x+93=35\left(5x+4\right)+315
Add 63 and 30 to get 93.
-6x+93=175x+140+315
Use the distributive property to multiply 35 by 5x+4.
-6x+93=175x+455
Add 140 and 315 to get 455.
-6x+93-175x=455
Subtract 175x from both sides.
-181x+93=455
Combine -6x and -175x to get -181x.
-181x=455-93
Subtract 93 from both sides.
-181x=362
Subtract 93 from 455 to get 362.
x=\frac{362}{-181}
Divide both sides by -181.
x=-2
Divide 362 by -181 to get -2.
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