Solve 3(2x-1)+25%text{of}x=97

$$3 ( 2 x - 1 ) + 25 \% \text { of } x = 97$$

Solve for x

$$x=16$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-1.

$$6x-3+\frac{25}{100}x=97$$

Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$6x-3+\frac{1}{4}x=97$$

Combine 6x and \frac{1}{4}x to get \frac{25}{4}x.

$$\frac{25}{4}x-3=97$$

Add 3 to both sides.

$$\frac{25}{4}x=97+3$$

Add 97 and 3 to get 100.

$$\frac{25}{4}x=100$$

Multiply both sides by \frac{4}{25}, the reciprocal of \frac{25}{4}.

$$x=100\times \frac{4}{25}$$

Express 100\times \frac{4}{25} as a single fraction.

$$x=\frac{100\times 4}{25}$$

Multiply 100 and 4 to get 400.

$$x=\frac{400}{25}$$

Divide 400 by 25 to get 16.

$$x=16$$