Solve 3/4(x)-1.72=-6.82

$$\frac { 3 } { 4 } ( x ) - 1.72 = - 6.82$$

Solve for x

$$x=-6.8$$

Steps for Solving Linear Equation

Add 1.72 to both sides.

$$\frac{3}{4}x=-6.82+1.72$$

Add -6.82 and 1.72 to get -5.1.

$$\frac{3}{4}x=-5.1$$

Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.

$$x=-5.1\times \frac{4}{3}$$

Convert decimal number -5.1 to fraction -\frac{51}{10}.

$$x=-\frac{51}{10}\times \frac{4}{3}$$

Multiply -\frac{51}{10} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-51\times 4}{10\times 3}$$

Do the multiplications in the fraction \frac{-51\times 4}{10\times 3}.

$$x=\frac{-204}{30}$$

Reduce the fraction \frac{-204}{30} to lowest terms by extracting and canceling out 6.

$$x=-\frac{34}{5}$$