Solve 0=3/5(3x-5)+10

$$0 = \frac { 3 } { 5 } ( 3 x - 5 ) + 10$$

Solve for x

$$x = -\frac{35}{9} = -3\frac{8}{9} \approx -3.888888889$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{5} by 3x-5.

$$0=\frac{3}{5}\times 3x+\frac{3}{5}\left(-5\right)+10$$

Express \frac{3}{5}\times 3 as a single fraction.

$$0=\frac{3\times 3}{5}x+\frac{3}{5}\left(-5\right)+10$$

Multiply 3 and 3 to get 9.

$$0=\frac{9}{5}x+\frac{3}{5}\left(-5\right)+10$$

Express \frac{3}{5}\left(-5\right) as a single fraction.

$$0=\frac{9}{5}x+\frac{3\left(-5\right)}{5}+10$$

Multiply 3 and -5 to get -15.

$$0=\frac{9}{5}x+\frac{-15}{5}+10$$

Divide -15 by 5 to get -3.

$$0=\frac{9}{5}x-3+10$$

Add -3 and 10 to get 7.

$$0=\frac{9}{5}x+7$$

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

$$\frac{9}{5}x+7=0$$

Subtract 7 from both sides. Anything subtracted from zero gives its negation.

$$\frac{9}{5}x=-7$$

Multiply both sides by \frac{5}{9}, the reciprocal of \frac{9}{5}.

$$x=-7\times \frac{5}{9}$$

Express -7\times \frac{5}{9} as a single fraction.

$$x=\frac{-7\times 5}{9}$$

Multiply -7 and 5 to get -35.

$$x=\frac{-35}{9}$$

Fraction \frac{-35}{9} can be rewritten as -\frac{35}{9} by extracting the negative sign.

$$x=-\frac{35}{9}$$