Solve for x: x(8 + 2) + 3 = 2(5 + x) + 5(x + 1) − 6 can somebody please help me solve for X ?
Mathematics · Middle School · Sun Jan 24 2021
Answered on
Given the equation:
x(8 + 2) + 3 = 2(5 + x) + 5(x + 1) − 6
Solve for x.
Solution:
Distribute first x, 2 and 5 to their corresponding parentehsis.
x(8 + 2) + 3 = 2(5 + x) + 5(x + 1) − 6
8x + 2x + 3 = 10 + 2x + 5x + 5 - 6
Combine similar terms
10x + 3 = 9 + 7x
Transpose 7x and 3 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
10x - 7x = 9 - 3
3x = 6
Divide both sides by 3 in order to determine the value of x.
3x/3 = 6/3
x = 2
Final answer:
x = 2