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

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

Solve for x

$$x=-\frac{5}{89}\approx -0.056179775$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(x+1\right)=4\left(2-x\right)+96x$$

Use the distributive property to multiply 3 by x+1.

$$3x+3=4\left(2-x\right)+96x$$

Use the distributive property to multiply 4 by 2-x.

$$3x+3=8-4x+96x$$

Combine -4x and 96x to get 92x.

$$3x+3=8+92x$$

Subtract 92x from both sides.

$$3x+3-92x=8$$

Combine 3x and -92x to get -89x.

$$-89x+3=8$$

Subtract 3 from both sides.

$$-89x=8-3$$

Subtract 3 from 8 to get 5.

$$-89x=5$$

Divide both sides by -89.

$$x=\frac{5}{-89}$$

Fraction \frac{5}{-89} can be rewritten as -\frac{5}{89} by extracting the negative sign.

$$x=-\frac{5}{89}$$