Solve 8*x+x=7*(-4)-4*(-1)

$$8 \cdot x + x = 7 \cdot ( - 4 ) - 4 \cdot ( - 1 )$$

Solve for x

$$x = -\frac{8}{3} = -2\frac{2}{3} \approx -2.666666667$$

Steps for Solving Linear Equation

Combine 8x and x to get 9x.

$$9x=7\left(-4\right)-4\left(-1\right)$$

Multiply 7 and -4 to get -28.

$$9x=-28-4\left(-1\right)$$

Multiply 4 and -1 to get -4.

$$9x=-28-\left(-4\right)$$

The opposite of -4 is 4.

$$9x=-28+4$$

Add -28 and 4 to get -24.

$$9x=-24$$

Divide both sides by 9.

$$x=\frac{-24}{9}$$

Reduce the fraction \frac{-24}{9} to lowest terms by extracting and canceling out 3.

$$x=-\frac{8}{3}$$