Solve 75-3/4=8left(x+1*5right)

$$75- \frac{ 3 }{ 4 } = 8 \left( x+1 \cdot 5 \right)$$

Solve for x

$$x = \frac{137}{32} = 4\frac{9}{32} = 4.28125$$

Steps for Solving Linear Equation

Convert 75 to fraction \frac{300}{4}.

$$\frac{300}{4}-\frac{3}{4}=8\left(x+1\times 5\right)$$

Since \frac{300}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{300-3}{4}=8\left(x+1\times 5\right)$$

Subtract 3 from 300 to get 297.

$$\frac{297}{4}=8\left(x+1\times 5\right)$$

Multiply 1 and 5 to get 5.

$$\frac{297}{4}=8\left(x+5\right)$$

Use the distributive property to multiply 8 by x+5.

$$\frac{297}{4}=8x+40$$

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

$$8x+40=\frac{297}{4}$$

Subtract 40 from both sides.

$$8x=\frac{297}{4}-40$$

Convert 40 to fraction \frac{160}{4}.

$$8x=\frac{297}{4}-\frac{160}{4}$$

Since \frac{297}{4} and \frac{160}{4} have the same denominator, subtract them by subtracting their numerators.

$$8x=\frac{297-160}{4}$$

Subtract 160 from 297 to get 137.

$$8x=\frac{137}{4}$$

Divide both sides by 8.

$$x=\frac{\frac{137}{4}}{8}$$

Express \frac{\frac{137}{4}}{8} as a single fraction.

$$x=\frac{137}{4\times 8}$$

Multiply 4 and 8 to get 32.

$$x=\frac{137}{32}$$