Solve 2(1-3x+6-2x)-3=3-(1-2x)

$$2(1-3x+6-2x)-3=3-(1-2x)$$

Solve for x

$$x=\frac{3}{4}=0.75$$

Steps for Solving Linear Equation

Add 1 and 6 to get 7.

$$2\left(7-3x-2x\right)-3=3-\left(1-2x\right)$$

Combine -3x and -2x to get -5x.

$$2\left(7-5x\right)-3=3-\left(1-2x\right)$$

Use the distributive property to multiply 2 by 7-5x.

$$14-10x-3=3-\left(1-2x\right)$$

Subtract 3 from 14 to get 11.

$$11-10x=3-\left(1-2x\right)$$

To find the opposite of 1-2x, find the opposite of each term.

$$11-10x=3-1-\left(-2x\right)$$

The opposite of -2x is 2x.

$$11-10x=3-1+2x$$

Subtract 1 from 3 to get 2.

$$11-10x=2+2x$$

Subtract 2x from both sides.

$$11-10x-2x=2$$

Combine -10x and -2x to get -12x.

$$11-12x=2$$

Subtract 11 from both sides.

$$-12x=2-11$$

Subtract 11 from 2 to get -9.

$$-12x=-9$$

Divide both sides by -12.

$$x=\frac{-9}{-12}$$

Reduce the fraction \frac{-9}{-12} to lowest terms by extracting and canceling out -3.

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