Solve -3x/2-x=x/10-6/5

$$- \frac { 3 x } { 2 } - x = \frac { x } { 10 } - \frac { 6 } { 5 }$$

Solve for x

$$x=\frac{6}{13}\approx 0.461538462$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,10,5.

$$-5\times 3x-10x=x-12$$

Multiply -5 and 3 to get -15.

$$-15x-10x=x-12$$

Combine -15x and -10x to get -25x.

$$-25x=x-12$$

Subtract x from both sides.

$$-25x-x=-12$$

Combine -25x and -x to get -26x.

$$-26x=-12$$

Divide both sides by -26.

$$x=\frac{-12}{-26}$$

Reduce the fraction \frac{-12}{-26} to lowest terms by extracting and canceling out -2.

$$x=\frac{6}{13}$$