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

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

Solve for x

$$x=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by 1-2x.

$$5-10x=3-2\left(2-x\right)$$

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

$$5-10x=3-4+2x$$

Subtract 4 from 3 to get -1.

$$5-10x=-1+2x$$

Subtract 2x from both sides.

$$5-10x-2x=-1$$

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

$$5-12x=-1$$

Subtract 5 from both sides.

$$-12x=-1-5$$

Subtract 5 from -1 to get -6.

$$-12x=-6$$

Divide both sides by -12.

$$x=\frac{-6}{-12}$$

Reduce the fraction \frac{-6}{-12} to lowest terms by extracting and canceling out -6.

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