Solve (34-x)4/7=2/5x

$$( 34 - x ) \frac { 4 } { 7 } = \frac { 2 } { 5 } x$$

Solve for x

$$x=20$$

Steps for Solving Linear Equation

Use the distributive property to multiply 34-x by \frac{4}{7}.

$$34\times \frac{4}{7}-x\times \frac{4}{7}=\frac{2}{5}x$$

Express 34\times \frac{4}{7} as a single fraction.

$$\frac{34\times 4}{7}-x\times \frac{4}{7}=\frac{2}{5}x$$

Multiply 34 and 4 to get 136.

$$\frac{136}{7}-x\times \frac{4}{7}=\frac{2}{5}x$$

Multiply -1 and \frac{4}{7} to get -\frac{4}{7}.

$$\frac{136}{7}-\frac{4}{7}x=\frac{2}{5}x$$

Subtract \frac{2}{5}x from both sides.

$$\frac{136}{7}-\frac{4}{7}x-\frac{2}{5}x=0$$

Combine -\frac{4}{7}x and -\frac{2}{5}x to get -\frac{34}{35}x.

$$\frac{136}{7}-\frac{34}{35}x=0$$

Subtract \frac{136}{7} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{34}{35}x=-\frac{136}{7}$$

Multiply both sides by -\frac{35}{34}, the reciprocal of -\frac{34}{35}.

$$x=-\frac{136}{7}\left(-\frac{35}{34}\right)$$

Multiply -\frac{136}{7} times -\frac{35}{34} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-136\left(-35\right)}{7\times 34}$$

Do the multiplications in the fraction \frac{-136\left(-35\right)}{7\times 34}.

$$x=\frac{4760}{238}$$

Divide 4760 by 238 to get 20.

$$x=20$$