Solve 3/2=-4/3*7+x

$$\frac { 3 } { 2 } = \frac { - 4 } { 3 } \cdot 7 + x$$

Solve for x

$$x = \frac{65}{6} = 10\frac{5}{6} \approx 10.833333333$$

Steps for Solving Linear Equation

Fraction \frac{-4}{3} can be rewritten as -\frac{4}{3} by extracting the negative sign.

$$\frac{3}{2}=-\frac{4}{3}\times 7+x$$

Express -\frac{4}{3}\times 7 as a single fraction.

$$\frac{3}{2}=\frac{-4\times 7}{3}+x$$

Multiply -4 and 7 to get -28.

$$\frac{3}{2}=\frac{-28}{3}+x$$

Fraction \frac{-28}{3} can be rewritten as -\frac{28}{3} by extracting the negative sign.

$$\frac{3}{2}=-\frac{28}{3}+x$$

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

$$-\frac{28}{3}+x=\frac{3}{2}$$

Add \frac{28}{3} to both sides.

$$x=\frac{3}{2}+\frac{28}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{3}{2} and \frac{28}{3} to fractions with denominator 6.

$$x=\frac{9}{6}+\frac{56}{6}$$

Since \frac{9}{6} and \frac{56}{6} have the same denominator, add them by adding their numerators.

$$x=\frac{9+56}{6}$$

Add 9 and 56 to get 65.

$$x=\frac{65}{6}$$