Solve 3*2x+8/4+5+4x/2=14

$$3 \cdot \frac { 2 x + 8 } { 4 } + \frac { 5 + 4 x } { 2 } = 14$$

Solve for x

$$x = \frac{11}{7} = 1\frac{4}{7} \approx 1.571428571$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4, the least common multiple of 4,2.

$$3\left(2x+8\right)+2\left(5+4x\right)=56$$

Use the distributive property to multiply 3 by 2x+8.

$$6x+24+2\left(5+4x\right)=56$$

Use the distributive property to multiply 2 by 5+4x.

$$6x+24+10+8x=56$$

Add 24 and 10 to get 34.

$$6x+34+8x=56$$

Combine 6x and 8x to get 14x.

$$14x+34=56$$

Subtract 34 from both sides.

$$14x=56-34$$

Subtract 34 from 56 to get 22.

$$14x=22$$

Divide both sides by 14.

$$x=\frac{22}{14}$$

Reduce the fraction \frac{22}{14} to lowest terms by extracting and canceling out 2.

$$x=\frac{11}{7}$$