We are asked to solve for the unknown "x" in three linear equations:
A) 2 (x - 5) - 8= 34
We use distributive property to eliminate the parenthesis on the left:
2 x - 10 - 8 = 34
now we combine -10 and -8 on the left to give "-18":
2 x - 18 = 34
now we add 18 on both sides to isolate the term in "x":
2 x = 34 + 18 = 52
now we divide by 2 boths sides to solve for x on the left:
x = 52 / 2
x = 26
B) The equation is:
(x - 12 )/4 = 9
Since there is a common denominator 4 on the left, we proceed to multiply both sides by 4, thus eliminating the denominator on the left;
x - 12 = 9 * 4 = 36
now we add 12 on both sides to solve for x on the left:
x = 36 + 12
x = 48
C) 6 - 7 x = 43
we subtract 6 from both sides to isolate the term in x on the left:
- 7 x = 43 - 6
- 7 x = 37
Then, in order to solve for x, we need to divide both sides by the factor "-7" which appears multiplying x. Notice that when divide 37 (which is a positive number) the division by a negative renders a negative number:
x = - 37/7
The fraction negative 37 divided by