Solve 4(2x-7)=10

$$4 ( 2 x - 7 ) = 10$$

Solve for x

$$x = \frac{19}{4} = 4\frac{3}{4} = 4.75$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$2x-7=\frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$2x-7=\frac{5}{2}$$

Add 7 to both sides.

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

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

$$2x=\frac{5}{2}+\frac{14}{2}$$

Since \frac{5}{2} and \frac{14}{2} have the same denominator, add them by adding their numerators.

$$2x=\frac{5+14}{2}$$

Add 5 and 14 to get 19.

$$2x=\frac{19}{2}$$

Divide both sides by 2.

$$x=\frac{\frac{19}{2}}{2}$$

Express \frac{\frac{19}{2}}{2} as a single fraction.

$$x=\frac{19}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$x=\frac{19}{4}$$