Solve 7(x-2)+2x+3=3(x-8)-2

$$7 ( x - 2 ) + 2 x + 3 = 3 ( x - 8 ) - 2$$

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by x-2.

$$7x-14+2x+3=3\left(x-8\right)-2$$

Combine 7x and 2x to get 9x.

$$9x-14+3=3\left(x-8\right)-2$$

Add -14 and 3 to get -11.

$$9x-11=3\left(x-8\right)-2$$

Use the distributive property to multiply 3 by x-8.

$$9x-11=3x-24-2$$

Subtract 2 from -24 to get -26.

$$9x-11=3x-26$$

Subtract 3x from both sides.

$$9x-11-3x=-26$$

Combine 9x and -3x to get 6x.

$$6x-11=-26$$

Add 11 to both sides.

$$6x=-26+11$$

Add -26 and 11 to get -15.

$$6x=-15$$

Divide both sides by 6.

$$x=\frac{-15}{6}$$

Reduce the fraction \frac{-15}{6} to lowest terms by extracting and canceling out 3.

$$x=-\frac{5}{2}$$