Solve 4/3+(7/2x)=6/5

$$\frac { 4 } { 3 } + ( \frac { 7 } { 2 } x ) = \frac { 6 } { 5 }$$

Solve for x

$$x=-\frac{4}{105}\approx -0.038095238$$

Steps for Solving Linear Equation

Subtract \frac{4}{3} from both sides.

$$\frac{7}{2}x=\frac{6}{5}-\frac{4}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{6}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{7}{2}x=\frac{18}{15}-\frac{20}{15}$$

Since \frac{18}{15} and \frac{20}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{2}x=\frac{18-20}{15}$$

Subtract 20 from 18 to get -2.

$$\frac{7}{2}x=-\frac{2}{15}$$

Multiply both sides by \frac{2}{7}, the reciprocal of \frac{7}{2}.

$$x=-\frac{2}{15}\times \frac{2}{7}$$

Multiply -\frac{2}{15} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-2\times 2}{15\times 7}$$

Do the multiplications in the fraction \frac{-2\times 2}{15\times 7}.

$$x=\frac{-4}{105}$$

Fraction \frac{-4}{105} can be rewritten as -\frac{4}{105} by extracting the negative sign.

$$x=-\frac{4}{105}$$