Solve 3*(x/2+1)-5x+8/10=4

$$3 \cdot ( \frac { x } { 2 } + 1 ) - \frac { 5 x + 8 } { 10 } = 4$$

Solve for x

$$x = \frac{9}{5} = 1\frac{4}{5} = 1.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,10.

$$30\left(\frac{x}{2}+1\right)-\left(5x+8\right)=40$$

Use the distributive property to multiply 30 by \frac{x}{2}+1.

$$30\times \frac{x}{2}+30-\left(5x+8\right)=40$$

Cancel out 2, the greatest common factor in 30 and 2.

$$15x+30-\left(5x+8\right)=40$$

To find the opposite of 5x+8, find the opposite of each term.

$$15x+30-5x-8=40$$

Combine 15x and -5x to get 10x.

$$10x+30-8=40$$

Subtract 8 from 30 to get 22.

$$10x+22=40$$

Subtract 22 from both sides.

$$10x=40-22$$

Subtract 22 from 40 to get 18.

$$10x=18$$

Divide both sides by 10.

$$x=\frac{18}{10}$$

Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$x=\frac{9}{5}$$