Solve 4x/5-3x/10=5x/2-6

$$\frac { 4 x } { 5 } - \frac { 3 x } { 10 } = \frac { 5 x } { 2 } - 6$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$2\times 4x-3x=5\times 5x-60$$

Multiply 2 and 4 to get 8.

$$8x-3x=5\times 5x-60$$

Combine 8x and -3x to get 5x.

$$5x=5\times 5x-60$$

Multiply 5 and 5 to get 25.

$$5x=25x-60$$

Subtract 25x from both sides.

$$5x-25x=-60$$

Combine 5x and -25x to get -20x.

$$-20x=-60$$

Divide both sides by -20.

$$x=\frac{-60}{-20}$$

Divide -60 by -20 to get 3.

$$x=3$$