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

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

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

Steps for Solving Linear Equation

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

$$2x-3+6x=2\left(3+x\right)$$

Combine 2x and 6x to get 8x.

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

Use the distributive property to multiply 2 by 3+x.

$$8x-3=6+2x$$

Subtract 2x from both sides.

$$8x-3-2x=6$$

Combine 8x and -2x to get 6x.

$$6x-3=6$$

Add 3 to both sides.

$$6x=6+3$$

Add 6 and 3 to get 9.

$$6x=9$$

Divide both sides by 6.

$$x=\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$x=\frac{3}{2}$$