Solve 4+2(2-x)=3-2(5-x)

$$4 + 2 ( 2 - x ) = 3 - 2 ( 5 - x )$$

Solve for x

$$x = \frac{15}{4} = 3\frac{3}{4} = 3.75$$

Steps for Solving Linear Equation

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

$$4+4-2x=3-2\left(5-x\right)$$

Add 4 and 4 to get 8.

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

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

$$8-2x=3-10+2x$$

Subtract 10 from 3 to get -7.

$$8-2x=-7+2x$$

Subtract 2x from both sides.

$$8-2x-2x=-7$$

Combine -2x and -2x to get -4x.

$$8-4x=-7$$

Subtract 8 from both sides.

$$-4x=-7-8$$

Subtract 8 from -7 to get -15.

$$-4x=-15$$

Divide both sides by -4.

$$x=\frac{-15}{-4}$$

Fraction \frac{-15}{-4} can be simplified to \frac{15}{4} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{15}{4}$$