Solve (x+8):3=(x-3):7-3

$$( x + 8 ) : 3 = ( x - 3 ) : 7 - 3$$

Solve for x

$$x=-32$$

Steps for Solving Linear Equation

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

$$7\left(x+8\right)=3\left(x-3\right)-63$$

Use the distributive property to multiply 7 by x+8.

$$7x+56=3\left(x-3\right)-63$$

Use the distributive property to multiply 3 by x-3.

$$7x+56=3x-9-63$$

Subtract 63 from -9 to get -72.

$$7x+56=3x-72$$

Subtract 3x from both sides.

$$7x+56-3x=-72$$

Combine 7x and -3x to get 4x.

$$4x+56=-72$$

Subtract 56 from both sides.

$$4x=-72-56$$

Subtract 56 from -72 to get -128.

$$4x=-128$$

Divide both sides by 4.

$$x=\frac{-128}{4}$$

Divide -128 by 4 to get -32.

$$x=-32$$