Solve 2*1+x/8+1=1+4/6

$$\frac{ 2 \times 1+x }{ 8 } +1= \frac{ 1+4 }{ 6 }$$

Solve for x

$$x = -\frac{10}{3} = -3\frac{1}{3} \approx -3.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 8,6.

$$3\left(2\times 1+x\right)+24=4\left(1+4\right)$$

Multiply 2 and 1 to get 2.

$$3\left(2+x\right)+24=4\left(1+4\right)$$

Use the distributive property to multiply 3 by 2+x.

$$6+3x+24=4\left(1+4\right)$$

Add 6 and 24 to get 30.

$$30+3x=4\left(1+4\right)$$

Add 1 and 4 to get 5.

$$30+3x=4\times 5$$

Multiply 4 and 5 to get 20.

$$30+3x=20$$

Subtract 30 from both sides.

$$3x=20-30$$

Subtract 30 from 20 to get -10.

$$3x=-10$$

Divide both sides by 3.

$$x=\frac{-10}{3}$$

Fraction \frac{-10}{3} can be rewritten as -\frac{10}{3} by extracting the negative sign.

$$x=-\frac{10}{3}$$