Solve for x
x=-5
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\left(-5-3x\right)\times 17=\left(4x+3\right)\left(-10\right)
Variable x cannot be equal to any of the values -\frac{5}{3},-\frac{3}{4} since division by zero is not defined. Multiply both sides of the equation by 2\left(3x+5\right)\left(4x+3\right), the least common multiple of -8x-6,6x+10.
-85-51x=\left(4x+3\right)\left(-10\right)
Use the distributive property to multiply -5-3x by 17.
-85-51x=-40x-30
Use the distributive property to multiply 4x+3 by -10.
-85-51x+40x=-30
Add 40x to both sides.
-85-11x=-30
Combine -51x and 40x to get -11x.
-11x=-30+85
Add 85 to both sides.
-11x=55
Add -30 and 85 to get 55.
x=\frac{55}{-11}
Divide both sides by -11.
x=-5
Divide 55 by -11 to get -5.
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