Solve 3left(x-7right)+5(5x)/15=3

$$\frac{ 3 \left( x-7 \right) +5(5x) }{ 15 } = 3$$

Solve for x

$$x = \frac{33}{14} = 2\frac{5}{14} \approx 2.357142857$$

Steps for Solving Linear Equation

Multiply both sides by 15.

$$3\left(x-7\right)+5\times 5x=3\times 15$$

Use the distributive property to multiply 3 by x-7.

$$3x-21+5\times 5x=3\times 15$$

Multiply 5 and 5 to get 25.

$$3x-21+25x=3\times 15$$

Combine 3x and 25x to get 28x.

$$28x-21=3\times 15$$

Multiply 3 and 15 to get 45.

$$28x-21=45$$

Add 21 to both sides.

$$28x=45+21$$

Add 45 and 21 to get 66.

$$28x=66$$

Divide both sides by 28.

$$x=\frac{66}{28}$$

Reduce the fraction \frac{66}{28} to lowest terms by extracting and canceling out 2.

$$x=\frac{33}{14}$$