solve for x. 7(x - 3) 3(4 - x) = -8 x = 1/4 x = 25/10 x = -16/19 x = -41/10

Mathematics · High School · Thu Feb 04 2021

Answered on

Given the equation:

7 (x - 3)

3(4 - x ) = 8

Solve for x.

Solution:

We can solve for x individually.

= 7 (x - 3)

Distribute 7 to each value inside the parenthesis.

= 7x -21

Transpose  -21 to the other side of the equation, hence we must take note that in transposing a number, the sign changes.

7x = 21

Divide both sides by 7 in order to determine the value of x.

7x/7 = 21/7

x = 3

 

3 ( 4 - x ) = 8

Do the same process.

12 - 3x = 8

Transpose -3 and 8 to the opposite sides of the equation.

3x = 12 - 8

3x = 4

Divide both sides by 3 in order to cancel out 3x.

3x/3 = 4/3

x = 4/3

Final answer:

x = 3

x = 4/3