Solve for x
x = \frac{22}{19} = 1\frac{3}{19} \approx 1.157894737
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\left(3x-4\right)\times 5=\left(1-2x\right)\times 2
Variable x cannot be equal to any of the values \frac{1}{2},\frac{4}{3} since division by zero is not defined. Multiply both sides of the equation by \left(2x-1\right)\left(3x-4\right), the least common multiple of 2x-1,4-3x.
15x-20=\left(1-2x\right)\times 2
Use the distributive property to multiply 3x-4 by 5.
15x-20=2-4x
Use the distributive property to multiply 1-2x by 2.
15x-20+4x=2
Add 4x to both sides.
19x-20=2
Combine 15x and 4x to get 19x.
19x=2+20
Add 20 to both sides.
19x=22
Add 2 and 20 to get 22.
x=\frac{22}{19}
Divide both sides by 19.
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