Solve for X
X=\frac{2}{13}\approx 0.153846154
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7\left(3X-2\right)=4\left(2X-3\right)
Variable X cannot be equal to \frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by 7\left(2X-3\right), the least common multiple of 2X-3,7.
21X-14=4\left(2X-3\right)
Use the distributive property to multiply 7 by 3X-2.
21X-14=8X-12
Use the distributive property to multiply 4 by 2X-3.
21X-14-8X=-12
Subtract 8X from both sides.
13X-14=-12
Combine 21X and -8X to get 13X.
13X=-12+14
Add 14 to both sides.
13X=2
Add -12 and 14 to get 2.
X=\frac{2}{13}
Divide both sides by 13.
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