Solve 7/10x-1/5=4

$$\frac{ 7 }{ 10 } x- \frac{ 1 }{ 5 } = 4$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Add \frac{1}{5} to both sides.

$$\frac{7}{10}x=4+\frac{1}{5}$$

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

$$\frac{7}{10}x=\frac{20}{5}+\frac{1}{5}$$

Since \frac{20}{5} and \frac{1}{5} have the same denominator, add them by adding their numerators.

$$\frac{7}{10}x=\frac{20+1}{5}$$

Add 20 and 1 to get 21.

$$\frac{7}{10}x=\frac{21}{5}$$

Multiply both sides by \frac{10}{7}, the reciprocal of \frac{7}{10}.

$$x=\frac{21}{5}\times \frac{10}{7}$$

Multiply \frac{21}{5} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{21\times 10}{5\times 7}$$

Do the multiplications in the fraction \frac{21\times 10}{5\times 7}.

$$x=\frac{210}{35}$$

Divide 210 by 35 to get 6.

$$x=6$$