Solve 98=1/2(14+b)*10*5

$$98 = \frac { 1 } { 2 } ( 14 + b ) \times 10 \cdot 5$$

Solve for b

$$b = -\frac{252}{25} = -10\frac{2}{25} = -10.08$$

Steps for Solving Linear Equation

Multiply \frac{1}{2} and 10 to get \frac{10}{2}.

$$98=\frac{10}{2}\left(14+b\right)\times 5$$

Divide 10 by 2 to get 5.

$$98=5\left(14+b\right)\times 5$$

Multiply 5 and 5 to get 25.

$$98=25\left(14+b\right)$$

Use the distributive property to multiply 25 by 14+b.

$$98=350+25b$$

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

$$350+25b=98$$

Subtract 350 from both sides.

$$25b=98-350$$

Subtract 350 from 98 to get -252.

$$25b=-252$$

Divide both sides by 25.

$$b=\frac{-252}{25}$$

Fraction \frac{-252}{25} can be rewritten as -\frac{252}{25} by extracting the negative sign.

$$b=-\frac{252}{25}$$