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Solve for x: 2(2x-8)=3(4-x)

User El Gucs
by
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1 Answer

2 votes

Answer:

4

Explanation:

1. First you want to distribute the coefficients through the values in the parenthesis

a. 2(2x-8)=3(4-x)

b. 4x-16 = 12-3x

2. Then you want to put all of the x values on one side of the equation

a. 4x-16 = 12-3x

b. 4x+3x-16=12-3x+3x

c. 7x-16=12

3. Then do the same for the constant values

a.7x-16=12

b.7x-16+16=12+16

c.7x=28

4. Then you divide both sides by the coefficient in front of the x value

a.7x=28

b.7x/7 =28/7

c. x = 4

5. We can check this by plugging this value in to the example

a. 2(2*4-8)=3(4-4)

b. 2(8-8)=3(0)

c. 2(0)=3(0)

d. 0 = 0 :)

User Mudasir Habib
by
7.6k points