Solve 3(x-4)+7(x+2)=x-18

$$3 ( x - 4 ) + 7 ( x + 2 ) = x - 18$$

Solve for x

$$x = -\frac{20}{9} = -2\frac{2}{9} \approx -2.222222222$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-4.

$$3x-12+7\left(x+2\right)=x-18$$

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

$$3x-12+7x+14=x-18$$

Combine 3x and 7x to get 10x.

$$10x-12+14=x-18$$

Add -12 and 14 to get 2.

$$10x+2=x-18$$

Subtract x from both sides.

$$10x+2-x=-18$$

Combine 10x and -x to get 9x.

$$9x+2=-18$$

Subtract 2 from both sides.

$$9x=-18-2$$

Subtract 2 from -18 to get -20.

$$9x=-20$$

Divide both sides by 9.

$$x=\frac{-20}{9}$$

Fraction \frac{-20}{9} can be rewritten as -\frac{20}{9} by extracting the negative sign.

$$x=-\frac{20}{9}$$