Solve x/3+20=5/7(x-20)

$$\frac { x } { 3 } + 20 = \frac { 5 } { 7 } ( x - 20 )$$

Solve for x

$$x=90$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 3,7.

$$7x+420=15\left(x-20\right)$$

Use the distributive property to multiply 15 by x-20.

$$7x+420=15x-300$$

Subtract 15x from both sides.

$$7x+420-15x=-300$$

Combine 7x and -15x to get -8x.

$$-8x+420=-300$$

Subtract 420 from both sides.

$$-8x=-300-420$$

Subtract 420 from -300 to get -720.

$$-8x=-720$$

Divide both sides by -8.

$$x=\frac{-720}{-8}$$

Divide -720 by -8 to get 90.

$$x=90$$