Solve 10:17/8=8x-2x+x-3x

$$10 : 1 \frac { 7 } { 8 } = 8 x - 2 x + x - 3 x$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Divide 10 by \frac{1\times 8+7}{8} by multiplying 10 by the reciprocal of \frac{1\times 8+7}{8}.

$$\frac{10\times 8}{1\times 8+7}=8x-2x+x-3x$$

Multiply 10 and 8 to get 80.

$$\frac{80}{1\times 8+7}=8x-2x+x-3x$$

Multiply 1 and 8 to get 8.

$$\frac{80}{8+7}=8x-2x+x-3x$$

Add 8 and 7 to get 15.

$$\frac{80}{15}=8x-2x+x-3x$$

Reduce the fraction \frac{80}{15} to lowest terms by extracting and canceling out 5.

$$\frac{16}{3}=8x-2x+x-3x$$

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

$$\frac{16}{3}=6x+x-3x$$

Combine 6x and x to get 7x.

$$\frac{16}{3}=7x-3x$$

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

$$\frac{16}{3}=4x$$

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

$$4x=\frac{16}{3}$$

Divide both sides by 4.

$$x=\frac{\frac{16}{3}}{4}$$

Express \frac{\frac{16}{3}}{4} as a single fraction.

$$x=\frac{16}{3\times 4}$$

Multiply 3 and 4 to get 12.

$$x=\frac{16}{12}$$

Reduce the fraction \frac{16}{12} to lowest terms by extracting and canceling out 4.

$$x=\frac{4}{3}$$