$$\frac { 4 x } { 10 - 12 x } = \frac { 18 } { 7 }$$
Solve for x
$x=\frac{45}{61}\approx 0.737704918$
Steps for Solving Linear Equation
Variable $x$ cannot be equal to $\frac{5}{6}$ since division by zero is not defined. Multiply both sides of the equation by $14\left(6x-5\right)$, the least common multiple of $10-12x,7$.
$$-7\times 4x=36\left(6x-5\right)$$
Multiply $-7$ and $4$ to get $-28$.
$$-28x=36\left(6x-5\right)$$
Use the distributive property to multiply $36$ by $6x-5$.
$$-28x=216x-180$$
Subtract $216x$ from both sides.
$$-28x-216x=-180$$
Combine $-28x$ and $-216x$ to get $-244x$.
$$-244x=-180$$
Divide both sides by $-244$.
$$x=\frac{-180}{-244}$$
Reduce the fraction $\frac{-180}{-244}$ to lowest terms by extracting and canceling out $-4$.
