Solve 3x+1/2=7-5x

$$3x+ \frac{ 1 }{ 2 } =7-5x$$

Solve for x

$$x=\frac{13}{16}=0.8125$$

Steps for Solving Linear Equation

Add 5x to both sides.

$$3x+\frac{1}{2}+5x=7$$

Combine 3x and 5x to get 8x.

$$8x+\frac{1}{2}=7$$

Subtract \frac{1}{2} from both sides.

$$8x=7-\frac{1}{2}$$

Convert 7 to fraction \frac{14}{2}.

$$8x=\frac{14}{2}-\frac{1}{2}$$

Since \frac{14}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$8x=\frac{14-1}{2}$$

Subtract 1 from 14 to get 13.

$$8x=\frac{13}{2}$$

Divide both sides by 8.

$$x=\frac{\frac{13}{2}}{8}$$

Express \frac{\frac{13}{2}}{8} as a single fraction.

$$x=\frac{13}{2\times 8}$$

Multiply 2 and 8 to get 16.

$$x=\frac{13}{16}$$