Solve 9/16x-4/7=6

$$\frac{ 9 }{ 16 } x- \frac{ 4 }{ 7 } =6$$

Solve for x

$$x = \frac{736}{63} = 11\frac{43}{63} \approx 11.682539683$$

Steps for Solving Linear Equation

Add \frac{4}{7} to both sides.

$$\frac{9}{16}x=6+\frac{4}{7}$$

Convert 6 to fraction \frac{42}{7}.

$$\frac{9}{16}x=\frac{42}{7}+\frac{4}{7}$$

Since \frac{42}{7} and \frac{4}{7} have the same denominator, add them by adding their numerators.

$$\frac{9}{16}x=\frac{42+4}{7}$$

Add 42 and 4 to get 46.

$$\frac{9}{16}x=\frac{46}{7}$$

Multiply both sides by \frac{16}{9}, the reciprocal of \frac{9}{16}.

$$x=\frac{46}{7}\times \frac{16}{9}$$

Multiply \frac{46}{7} times \frac{16}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{46\times 16}{7\times 9}$$

Do the multiplications in the fraction \frac{46\times 16}{7\times 9}.

$$x=\frac{736}{63}$$