Solve 3/4x+15/4=-4/3x+4

$$\frac { 3 } { 4 } x + \frac { 15 } { 4 } = - \frac { 4 } { 3 } x + 4$$

Solve for x

$$x=\frac{3}{25}=0.12$$

Steps for Solving Linear Equation

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

$$\frac{3}{4}x+\frac{15}{4}+\frac{4}{3}x=4$$

Combine \frac{3}{4}x and \frac{4}{3}x to get \frac{25}{12}x.

$$\frac{25}{12}x+\frac{15}{4}=4$$

Subtract \frac{15}{4} from both sides.

$$\frac{25}{12}x=4-\frac{15}{4}$$

Convert 4 to fraction \frac{16}{4}.

$$\frac{25}{12}x=\frac{16}{4}-\frac{15}{4}$$

Since \frac{16}{4} and \frac{15}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25}{12}x=\frac{16-15}{4}$$

Subtract 15 from 16 to get 1.

$$\frac{25}{12}x=\frac{1}{4}$$

Multiply both sides by \frac{12}{25}, the reciprocal of \frac{25}{12}.

$$x=\frac{1}{4}\times \frac{12}{25}$$

Multiply \frac{1}{4} times \frac{12}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{1\times 12}{4\times 25}$$

Do the multiplications in the fraction \frac{1\times 12}{4\times 25}.

$$x=\frac{12}{100}$$

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$x=\frac{3}{25}$$