Solve x+1/3+2x+5/4=2

$$\frac { x + 1 } { 3 } + \frac { 2 x + 5 } { 4 } = 2$$

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(x+1\right)+3\left(2x+5\right)=24$$

Use the distributive property to multiply 4 by x+1.

$$4x+4+3\left(2x+5\right)=24$$

Use the distributive property to multiply 3 by 2x+5.

$$4x+4+6x+15=24$$

Combine 4x and 6x to get 10x.

$$10x+4+15=24$$

Add 4 and 15 to get 19.

$$10x+19=24$$

Subtract 19 from both sides.

$$10x=24-19$$

Subtract 19 from 24 to get 5.

$$10x=5$$

Divide both sides by 10.

$$x=\frac{5}{10}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

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