Solve -3/5x+7=-4/3x+32/3

$$- 3 / 5 x + 7 = - 4 / 3 x + 32 / 3$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Add \frac{4}{3}x to both sides.

$$-\frac{3}{5}x+7+\frac{4}{3}x=\frac{32}{3}$$

Combine -\frac{3}{5}x and \frac{4}{3}x to get \frac{11}{15}x.

$$\frac{11}{15}x+7=\frac{32}{3}$$

Subtract 7 from both sides.

$$\frac{11}{15}x=\frac{32}{3}-7$$

Convert 7 to fraction \frac{21}{3}.

$$\frac{11}{15}x=\frac{32}{3}-\frac{21}{3}$$

Since \frac{32}{3} and \frac{21}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{15}x=\frac{32-21}{3}$$

Subtract 21 from 32 to get 11.

$$\frac{11}{15}x=\frac{11}{3}$$

Multiply both sides by \frac{15}{11}, the reciprocal of \frac{11}{15}.

$$x=\frac{11}{3}\times \frac{15}{11}$$

Multiply \frac{11}{3} times \frac{15}{11} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{11\times 15}{3\times 11}$$

Cancel out 11 in both numerator and denominator.

$$x=\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$x=5$$