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

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

Solve for x

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$15x-20=25+15\left(\frac{x}{5}-1\right)$$

Use the distributive property to multiply 15 by \frac{x}{5}-1.

$$15x-20=25+15\times \frac{x}{5}-15$$

Cancel out 5, the greatest common factor in 15 and 5.

$$15x-20=25+3x-15$$

Subtract 15 from 25 to get 10.

$$15x-20=10+3x$$

Subtract 3x from both sides.

$$15x-20-3x=10$$

Combine 15x and -3x to get 12x.

$$12x-20=10$$

Add 20 to both sides.

$$12x=10+20$$

Add 10 and 20 to get 30.

$$12x=30$$

Divide both sides by 12.

$$x=\frac{30}{12}$$

Reduce the fraction \frac{30}{12} to lowest terms by extracting and canceling out 6.

$$x=\frac{5}{2}$$