7(x+4)+6(x-3)=8(x-3)-2(x+4
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
7(x+4)+6(x-3)=8(x-3)-2(x+4)
Solve for x.
Solution:
In order to solve for x, we distribute first each number to each value inside their corresponding parenthesis.
7(x+4)+6(x-3)=8(x-3)-2(x+4)
(7x + 28) + (6x - 18) = (8x - 24) - (2x + 8)
Combine like terms.
7x + 28 + 6x - 18 = 8x - 24 - 2x - 8
15x + 10 = 6x - 32
Transpose 10 and 6x to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
15x - 6x = -32 -10
9x = -42
Divide both sides by 9 in order to determine the value of x.
9x/9 = -42/9
x = -4.667…
Final answer:
x = -4.667…