Solve -1320=1/2*70*(x-18.5)

$$- 1320 = \frac { 1 } { 2 } \times 70 \times ( x - 18.5 )$$

Solve for x

$$x = -\frac{269}{14} = -19\frac{3}{14} \approx -19.214285714$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 70 to get \frac{70}{2}.

$$-1320=\frac{70}{2}\left(x-18.5\right)$$

Divide 70 by 2 to get 35.

$$-1320=35\left(x-18.5\right)$$

Use the distributive property to multiply 35 by x-18.5.

$$-1320=35x-647.5$$

Swap sides so that all variable terms are on the left hand side.

$$35x-647.5=-1320$$

Add 647.5 to both sides.

$$35x=-1320+647.5$$

Add -1320 and 647.5 to get -672.5.

$$35x=-672.5$$

Divide both sides by 35.

$$x=\frac{-672.5}{35}$$

Expand \frac{-672.5}{35} by multiplying both numerator and the denominator by 10.

$$x=\frac{-6725}{350}$$

Reduce the fraction \frac{-6725}{350} to lowest terms by extracting and canceling out 25.

$$x=-\frac{269}{14}$$