Solve 2/3x+4=1/4

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

Solve for x

$$x = -\frac{45}{8} = -5\frac{5}{8} = -5.625$$

Steps for Solving Linear Equation

Subtract 4 from both sides.

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

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

$$\frac{2}{3}x=\frac{1}{4}-\frac{16}{4}$$

Since \frac{1}{4} and \frac{16}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}x=\frac{1-16}{4}$$

Subtract 16 from 1 to get -15.

$$\frac{2}{3}x=-\frac{15}{4}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$x=-\frac{15}{4}\times \frac{3}{2}$$

Multiply -\frac{15}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-15\times 3}{4\times 2}$$

Do the multiplications in the fraction \frac{-15\times 3}{4\times 2}.

$$x=\frac{-45}{8}$$

Fraction \frac{-45}{8} can be rewritten as -\frac{45}{8} by extracting the negative sign.

$$x=-\frac{45}{8}$$