Solve 2x-5+5/8-3x=10-82x

$$2x-5+ \frac{ 5 }{ 8 } -3x=10-82x$$

Solve for x

$$x=\frac{115}{648}\approx 0.177469136$$

Steps for Solving Linear Equation

Convert -5 to fraction -\frac{40}{8}.

$$2x-\frac{40}{8}+\frac{5}{8}-3x=10-82x$$

Since -\frac{40}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$2x+\frac{-40+5}{8}-3x=10-82x$$

Add -40 and 5 to get -35.

$$2x-\frac{35}{8}-3x=10-82x$$

Combine 2x and -3x to get -x.

$$-x-\frac{35}{8}=10-82x$$

Add 82x to both sides.

$$-x-\frac{35}{8}+82x=10$$

Combine -x and 82x to get 81x.

$$81x-\frac{35}{8}=10$$

Add \frac{35}{8} to both sides.

$$81x=10+\frac{35}{8}$$

Convert 10 to fraction \frac{80}{8}.

$$81x=\frac{80}{8}+\frac{35}{8}$$

Since \frac{80}{8} and \frac{35}{8} have the same denominator, add them by adding their numerators.

$$81x=\frac{80+35}{8}$$

Add 80 and 35 to get 115.

$$81x=\frac{115}{8}$$

Divide both sides by 81.

$$x=\frac{\frac{115}{8}}{81}$$

Express \frac{\frac{115}{8}}{81} as a single fraction.

$$x=\frac{115}{8\times 81}$$

Multiply 8 and 81 to get 648.

$$x=\frac{115}{648}$$