Solve 111+23/2+45=2x+4

$$111 + \frac { 23 } { 2 } + 45 = 2 x + 4$$

Solve for x

$$x = \frac{327}{4} = 81\frac{3}{4} = 81.75$$

Steps for Solving Linear Equation

Convert 111 to fraction \frac{222}{2}.

$$\frac{222}{2}+\frac{23}{2}+45=2x+4$$

Since \frac{222}{2} and \frac{23}{2} have the same denominator, add them by adding their numerators.

$$\frac{222+23}{2}+45=2x+4$$

Add 222 and 23 to get 245.

$$\frac{245}{2}+45=2x+4$$

Convert 45 to fraction \frac{90}{2}.

$$\frac{245}{2}+\frac{90}{2}=2x+4$$

Since \frac{245}{2} and \frac{90}{2} have the same denominator, add them by adding their numerators.

$$\frac{245+90}{2}=2x+4$$

Add 245 and 90 to get 335.

$$\frac{335}{2}=2x+4$$

Swap sides so that all variable terms are on the left hand side.

$$2x+4=\frac{335}{2}$$

Subtract 4 from both sides.

$$2x=\frac{335}{2}-4$$

Convert 4 to fraction \frac{8}{2}.

$$2x=\frac{335}{2}-\frac{8}{2}$$

Since \frac{335}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$2x=\frac{335-8}{2}$$

Subtract 8 from 335 to get 327.

$$2x=\frac{327}{2}$$

Divide both sides by 2.

$$x=\frac{\frac{327}{2}}{2}$$

Express \frac{\frac{327}{2}}{2} as a single fraction.

$$x=\frac{327}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$x=\frac{327}{4}$$