Solve 5x/8-5(x-20)=-2x+18/6

$$\frac { 5 x } { 8 } - 5 ( x - 20 ) = \frac { - 2 x + 18 } { 6 }$$

Solve for x

$$x=24$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,6.

$$3\times 5x-120\left(x-20\right)=4\left(-2x+18\right)$$

Multiply 3 and 5 to get 15.

$$15x-120\left(x-20\right)=4\left(-2x+18\right)$$

Use the distributive property to multiply -120 by x-20.

$$15x-120x+2400=4\left(-2x+18\right)$$

Combine 15x and -120x to get -105x.

$$-105x+2400=4\left(-2x+18\right)$$

Use the distributive property to multiply 4 by -2x+18.

$$-105x+2400=-8x+72$$

Add 8x to both sides.

$$-105x+2400+8x=72$$

Combine -105x and 8x to get -97x.

$$-97x+2400=72$$

Subtract 2400 from both sides.

$$-97x=72-2400$$

Subtract 2400 from 72 to get -2328.

$$-97x=-2328$$

Divide both sides by -97.

$$x=\frac{-2328}{-97}$$

Divide -2328 by -97 to get 24.

$$x=24$$