Solve 3x-2x/5=x/10-7/4

$$3 x - \frac { 2 x } { 5 } = \frac { x } { 10 } - \frac { 7 } { 4 }$$

Solve for x

$$x=-\frac{7}{10}=-0.7$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 5,10,4.

$$60x-4\times 2x=2x-35$$

Multiply -4 and 2 to get -8.

$$60x-8x=2x-35$$

Combine 60x and -8x to get 52x.

$$52x=2x-35$$

Subtract 2x from both sides.

$$52x-2x=-35$$

Combine 52x and -2x to get 50x.

$$50x=-35$$

Divide both sides by 50.

$$x=\frac{-35}{50}$$

Reduce the fraction \frac{-35}{50} to lowest terms by extracting and canceling out 5.

$$x=-\frac{7}{10}$$