Solve 1/4x+10=2/3

$$\frac { 1 } { 4 } x + 10 = \frac { 2 } { 3 }$$

Solve for x

$$x = -\frac{112}{3} = -37\frac{1}{3} \approx -37.333333333$$

Steps for Solving Linear Equation

Subtract 10 from both sides.

$$\frac{1}{4}x=\frac{2}{3}-10$$

Convert 10 to fraction \frac{30}{3}.

$$\frac{1}{4}x=\frac{2}{3}-\frac{30}{3}$$

Since \frac{2}{3} and \frac{30}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{4}x=\frac{2-30}{3}$$

Subtract 30 from 2 to get -28.

$$\frac{1}{4}x=-\frac{28}{3}$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$x=-\frac{28}{3}\times 4$$

Express -\frac{28}{3}\times 4 as a single fraction.

$$x=\frac{-28\times 4}{3}$$

Multiply -28 and 4 to get -112.

$$x=\frac{-112}{3}$$

Fraction \frac{-112}{3} can be rewritten as -\frac{112}{3} by extracting the negative sign.

$$x=-\frac{112}{3}$$