Solve for x
x=-\frac{3}{14}\approx -0.214285714
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Linear Equation
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\frac { 6 x - 1 } { 3 x - 1 } = \frac { 2 x + 5 } { 2 - 6 x }
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2\left(6x-1\right)=-\left(2x+5\right)
Variable x cannot be equal to \frac{1}{3} since division by zero is not defined. Multiply both sides of the equation by 2\left(3x-1\right), the least common multiple of 3x-1,2-6x.
12x-2=-\left(2x+5\right)
Use the distributive property to multiply 2 by 6x-1.
12x-2=-2x-5
To find the opposite of 2x+5, find the opposite of each term.
12x-2+2x=-5
Add 2x to both sides.
14x-2=-5
Combine 12x and 2x to get 14x.
14x=-5+2
Add 2 to both sides.
14x=-3
Add -5 and 2 to get -3.
x=\frac{-3}{14}
Divide both sides by 14.
x=-\frac{3}{14}
Fraction \frac{-3}{14} can be rewritten as -\frac{3}{14} by extracting the negative sign.
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