Solve 3/3-2x=12.6/8.4

$$\frac { 3 } { 3 - 2 x } = \frac { 12.6 } { 8.4 }$$

Solve for x

$$x=0.5$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{3}{2} since division by zero is not defined. Multiply both sides of the equation by -2x+3.

$$3=\left(-2x+3\right)\times \frac{12.6}{8.4}$$

Expand \frac{12.6}{8.4} by multiplying both numerator and the denominator by 10.

$$3=\left(-2x+3\right)\times \frac{126}{84}$$

Reduce the fraction \frac{126}{84} to lowest terms by extracting and canceling out 42.

$$3=\left(-2x+3\right)\times \frac{3}{2}$$

Use the distributive property to multiply -2x+3 by \frac{3}{2}.

$$3=-3x+\frac{9}{2}$$

Swap sides so that all variable terms are on the left hand side.

$$-3x+\frac{9}{2}=3$$

Subtract \frac{9}{2} from both sides.

$$-3x=3-\frac{9}{2}$$

Subtract \frac{9}{2} from 3 to get -\frac{3}{2}.

$$-3x=-\frac{3}{2}$$

Divide both sides by -3.

$$x=\frac{-\frac{3}{2}}{-3}$$

Express \frac{-\frac{3}{2}}{-3} as a single fraction.

$$x=\frac{-3}{2\left(-3\right)}$$

Cancel out -3 in both numerator and denominator.

$$x=\frac{1}{2}$$