Solve 25(x-1)+2=3(2x-1)+9

$$25 ( x - 1 ) + 2 = 3 ( 2 x - 1 ) + 9$$

Solve for x

$$x = \frac{29}{19} = 1\frac{10}{19} \approx 1.526315789$$

Steps for Solving Linear Equation

Use the distributive property to multiply 25 by x-1.

$$25x-25+2=3\left(2x-1\right)+9$$

Add -25 and 2 to get -23.

$$25x-23=3\left(2x-1\right)+9$$

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

$$25x-23=6x-3+9$$

Add -3 and 9 to get 6.

$$25x-23=6x+6$$

Subtract 6x from both sides.

$$25x-23-6x=6$$

Combine 25x and -6x to get 19x.

$$19x-23=6$$

Add 23 to both sides.

$$19x=6+23$$

Add 6 and 23 to get 29.

$$19x=29$$

Divide both sides by 19.

$$x=\frac{29}{19}$$