Solve 1/2(170-5x+8)=4x+3

$$\frac{ 1 }{ 2 } (170-5x+8)=4x+3$$

Solve for x

$$x = \frac{172}{13} = 13\frac{3}{13} \approx 13.230769231$$

Steps for Solving Linear Equation

Add 170 and 8 to get 178.

$$\frac{1}{2}\left(178-5x\right)=4x+3$$

Use the distributive property to multiply \frac{1}{2} by 178-5x.

$$\frac{1}{2}\times 178+\frac{1}{2}\left(-5\right)x=4x+3$$

Multiply \frac{1}{2} and 178 to get \frac{178}{2}.

$$\frac{178}{2}+\frac{1}{2}\left(-5\right)x=4x+3$$

Divide 178 by 2 to get 89.

$$89+\frac{1}{2}\left(-5\right)x=4x+3$$

Multiply \frac{1}{2} and -5 to get \frac{-5}{2}.

$$89+\frac{-5}{2}x=4x+3$$

Fraction \frac{-5}{2} can be rewritten as -\frac{5}{2} by extracting the negative sign.

$$89-\frac{5}{2}x=4x+3$$

Subtract 4x from both sides.

$$89-\frac{5}{2}x-4x=3$$

Combine -\frac{5}{2}x and -4x to get -\frac{13}{2}x.

$$89-\frac{13}{2}x=3$$

Subtract 89 from both sides.

$$-\frac{13}{2}x=3-89$$

Subtract 89 from 3 to get -86.

$$-\frac{13}{2}x=-86$$

Multiply both sides by -\frac{2}{13}, the reciprocal of -\frac{13}{2}.

$$x=-86\left(-\frac{2}{13}\right)$$

Express -86\left(-\frac{2}{13}\right) as a single fraction.

$$x=\frac{-86\left(-2\right)}{13}$$

Multiply -86 and -2 to get 172.

$$x=\frac{172}{13}$$