Solve for x
x=-2
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-3\left(7x+2\right)=-4\left(4x-1\right)
Variable x cannot be equal to \frac{1}{4} since division by zero is not defined. Multiply both sides of the equation by 3\left(4x-1\right), the least common multiple of 1-4x,3.
-21x-6=-4\left(4x-1\right)
Use the distributive property to multiply -3 by 7x+2.
-21x-6=-16x+4
Use the distributive property to multiply -4 by 4x-1.
-21x-6+16x=4
Add 16x to both sides.
-5x-6=4
Combine -21x and 16x to get -5x.
-5x=4+6
Add 6 to both sides.
-5x=10
Add 4 and 6 to get 10.
x=\frac{10}{-5}
Divide both sides by -5.
x=-2
Divide 10 by -5 to get -2.
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