Solve 2/5x+1/2=7/10x-1

$$\frac { 2 } { 5 } x + \frac { 1 } { 2 } = \frac { 7 } { 10 } x - 1$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Subtract \frac{7}{10}x from both sides.

$$\frac{2}{5}x+\frac{1}{2}-\frac{7}{10}x=-1$$

Combine \frac{2}{5}x and -\frac{7}{10}x to get -\frac{3}{10}x.

$$-\frac{3}{10}x+\frac{1}{2}=-1$$

Subtract \frac{1}{2} from both sides.

$$-\frac{3}{10}x=-1-\frac{1}{2}$$

Convert -1 to fraction -\frac{2}{2}.

$$-\frac{3}{10}x=-\frac{2}{2}-\frac{1}{2}$$

Since -\frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{10}x=\frac{-2-1}{2}$$

Subtract 1 from -2 to get -3.

$$-\frac{3}{10}x=-\frac{3}{2}$$

Multiply both sides by -\frac{10}{3}, the reciprocal of -\frac{3}{10}.

$$x=-\frac{3}{2}\left(-\frac{10}{3}\right)$$

Multiply -\frac{3}{2} times -\frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-3\left(-10\right)}{2\times 3}$$

Do the multiplications in the fraction \frac{-3\left(-10\right)}{2\times 3}.

$$x=\frac{30}{6}$$

Divide 30 by 6 to get 5.

$$x=5$$