Solve 3(2x-1)-5(3x-1)=1

$$3 ( 2 x - 1 ) - 5 ( 3 x - 1 ) = 1$$

Solve for x

$$x=\frac{1}{9}\approx 0.111111111$$

Steps for Solving Linear Equation

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

$$6x-3-5\left(3x-1\right)=1$$

Use the distributive property to multiply -5 by 3x-1.

$$6x-3-15x+5=1$$

Combine 6x and -15x to get -9x.

$$-9x-3+5=1$$

Add -3 and 5 to get 2.

$$-9x+2=1$$

Subtract 2 from both sides.

$$-9x=1-2$$

Subtract 2 from 1 to get -1.

$$-9x=-1$$

Divide both sides by -9.

$$x=\frac{-1}{-9}$$

Fraction \frac{-1}{-9} can be simplified to \frac{1}{9} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{9}$$