Solve 2/3x+5=3/4

$$\frac { 2 } { 3 } x + 5 = \frac { 3 } { 4 }$$

Solve for x

$$x = -\frac{51}{8} = -6\frac{3}{8} = -6.375$$

Steps for Solving Linear Equation

Subtract 5 from both sides.

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

Convert 5 to fraction \frac{20}{4}.

$$\frac{2}{3}x=\frac{3}{4}-\frac{20}{4}$$

Since \frac{3}{4} and \frac{20}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}x=\frac{3-20}{4}$$

Subtract 20 from 3 to get -17.

$$\frac{2}{3}x=-\frac{17}{4}$$

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

$$x=-\frac{17}{4}\times \frac{3}{2}$$

Multiply -\frac{17}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-17\times 3}{4\times 2}$$

Do the multiplications in the fraction \frac{-17\times 3}{4\times 2}.

$$x=\frac{-51}{8}$$

Fraction \frac{-51}{8} can be rewritten as -\frac{51}{8} by extracting the negative sign.

$$x=-\frac{51}{8}$$