Solve 4-(4)=4/5(x-(-3))

$$4 - ( 4 ) = \frac { 4 } { 5 } ( x - ( - 3 ) )$$

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Subtract 4 from 4 to get 0.

$$0=\frac{4}{5}\left(x-\left(-3\right)\right)$$

The opposite of -3 is 3.

$$0=\frac{4}{5}\left(x+3\right)$$

Use the distributive property to multiply \frac{4}{5} by x+3.

$$0=\frac{4}{5}x+\frac{4}{5}\times 3$$

Express \frac{4}{5}\times 3 as a single fraction.

$$0=\frac{4}{5}x+\frac{4\times 3}{5}$$

Multiply 4 and 3 to get 12.

$$0=\frac{4}{5}x+\frac{12}{5}$$

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

$$\frac{4}{5}x+\frac{12}{5}=0$$

Subtract \frac{12}{5} from both sides. Anything subtracted from zero gives its negation.

$$\frac{4}{5}x=-\frac{12}{5}$$

Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.

$$x=-\frac{12}{5}\times \frac{5}{4}$$

Multiply -\frac{12}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-12\times 5}{5\times 4}$$

Cancel out 5 in both numerator and denominator.

$$x=\frac{-12}{4}$$

Divide -12 by 4 to get -3.

$$x=-3$$