Solve 4-(-4)=3/4(x-(-2))

$$4 - ( - 4 ) = \frac { 3 } { 4 } ( x - ( - 2 ) )$$

Solve for x

$$x = \frac{26}{3} = 8\frac{2}{3} \approx 8.666666667$$

Steps for Solving Linear Equation

The opposite of -4 is 4.

$$4+4=\frac{3}{4}\left(x-\left(-2\right)\right)$$

Add 4 and 4 to get 8.

$$8=\frac{3}{4}\left(x-\left(-2\right)\right)$$

The opposite of -2 is 2.

$$8=\frac{3}{4}\left(x+2\right)$$

Use the distributive property to multiply \frac{3}{4} by x+2.

$$8=\frac{3}{4}x+\frac{3}{4}\times 2$$

Express \frac{3}{4}\times 2 as a single fraction.

$$8=\frac{3}{4}x+\frac{3\times 2}{4}$$

Multiply 3 and 2 to get 6.

$$8=\frac{3}{4}x+\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$8=\frac{3}{4}x+\frac{3}{2}$$

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

$$\frac{3}{4}x+\frac{3}{2}=8$$

Subtract \frac{3}{2} from both sides.

$$\frac{3}{4}x=8-\frac{3}{2}$$

Convert 8 to fraction \frac{16}{2}.

$$\frac{3}{4}x=\frac{16}{2}-\frac{3}{2}$$

Since \frac{16}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{4}x=\frac{16-3}{2}$$

Subtract 3 from 16 to get 13.

$$\frac{3}{4}x=\frac{13}{2}$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=\frac{13}{2}\times \frac{4}{3}$$

Multiply \frac{13}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{13\times 4}{2\times 3}$$

Do the multiplications in the fraction \frac{13\times 4}{2\times 3}.

$$x=\frac{52}{6}$$

Reduce the fraction \frac{52}{6} to lowest terms by extracting and canceling out 2.

$$x=\frac{26}{3}$$