Solve 2(6x-4)-(3-2x)=1-2(3x-5)

$$2 ( 6 x - 4 ) - ( 3 - 2 x ) = 1 - 2 ( 3 x - 5 )$$

Solve for x

$$x = \frac{11}{10} = 1\frac{1}{10} = 1.1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 6x-4.

$$12x-8-\left(3-2x\right)=1-2\left(3x-5\right)$$

To find the opposite of 3-2x, find the opposite of each term.

$$12x-8-3-\left(-2x\right)=1-2\left(3x-5\right)$$

The opposite of -2x is 2x.

$$12x-8-3+2x=1-2\left(3x-5\right)$$

Subtract 3 from -8 to get -11.

$$12x-11+2x=1-2\left(3x-5\right)$$

Combine 12x and 2x to get 14x.

$$14x-11=1-2\left(3x-5\right)$$

Use the distributive property to multiply -2 by 3x-5.

$$14x-11=1-6x+10$$

Add 1 and 10 to get 11.

$$14x-11=11-6x$$

Add 6x to both sides.

$$14x-11+6x=11$$

Combine 14x and 6x to get 20x.

$$20x-11=11$$

Add 11 to both sides.

$$20x=11+11$$

Add 11 and 11 to get 22.

$$20x=22$$

Divide both sides by 20.

$$x=\frac{22}{20}$$

Reduce the fraction \frac{22}{20} to lowest terms by extracting and canceling out 2.

$$x=\frac{11}{10}$$