Solve 10:11/8=8x-2x+x-3x

$$10 : 1 \frac { 1 } { 8 } = 8 x - 2 x + x - 3 x$$

Solve for x

$$x = \frac{20}{9} = 2\frac{2}{9} \approx 2.222222222$$

Steps for Solving Linear Equation

Divide 10 by \frac{1\times 8+1}{8} by multiplying 10 by the reciprocal of \frac{1\times 8+1}{8}.

$$\frac{10\times 8}{1\times 8+1}=8x-2x+x-3x$$

Multiply 10 and 8 to get 80.

$$\frac{80}{1\times 8+1}=8x-2x+x-3x$$

Multiply 1 and 8 to get 8.

$$\frac{80}{8+1}=8x-2x+x-3x$$

Add 8 and 1 to get 9.

$$\frac{80}{9}=8x-2x+x-3x$$

Combine 8x and -2x to get 6x.

$$\frac{80}{9}=6x+x-3x$$

Combine 6x and x to get 7x.

$$\frac{80}{9}=7x-3x$$

Combine 7x and -3x to get 4x.

$$\frac{80}{9}=4x$$

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

$$4x=\frac{80}{9}$$

Divide both sides by 4.

$$x=\frac{\frac{80}{9}}{4}$$

Express \frac{\frac{80}{9}}{4} as a single fraction.

$$x=\frac{80}{9\times 4}$$

Multiply 9 and 4 to get 36.

$$x=\frac{80}{36}$$

Reduce the fraction \frac{80}{36} to lowest terms by extracting and canceling out 4.

$$x=\frac{20}{9}$$