Solve 3x-x/4+9=1-x/2+8

$$3x- \frac{ x }{ 4 } +9=1- \frac{ x }{ 2+8 }$$

Solve for x

$$x = -\frac{160}{57} = -2\frac{46}{57} \approx -2.807017544$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$12x-x+36=4-\frac{2}{5}x$$

Add \frac{2}{5}x to both sides.

$$12x-x+36+\frac{2}{5}x=4$$

Combine 12x and \frac{2}{5}x to get \frac{62}{5}x.

$$\frac{62}{5}x-x+36=4$$

Subtract 36 from both sides.

$$\frac{62}{5}x-x=4-36$$

Subtract 36 from 4 to get -32.

$$\frac{62}{5}x-x=-32$$

Combine \frac{62}{5}x and -x to get \frac{57}{5}x.

$$\frac{57}{5}x=-32$$

Multiply both sides by \frac{5}{57}, the reciprocal of \frac{57}{5}.

$$x=-32\times \frac{5}{57}$$

Express -32\times \frac{5}{57} as a single fraction.

$$x=\frac{-32\times 5}{57}$$

Multiply -32 and 5 to get -160.

$$x=\frac{-160}{57}$$

Fraction \frac{-160}{57} can be rewritten as -\frac{160}{57} by extracting the negative sign.

$$x=-\frac{160}{57}$$