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

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

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 10,4,5.

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

Multiply -4 and 2 to get -8.

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

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

$$2x-35=52x$$

Subtract 52x from both sides.

$$2x-35-52x=0$$

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

$$-50x-35=0$$

Add 35 to both sides. Anything plus zero gives itself.

$$-50x=35$$

Divide both sides by -50.

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

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

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