On number one: 5 - 2x = 3
-2x = 3 - 5
-2x = -2 (divide both sides by -2 to get x)
-2x/(-2) = -2/(-2)
x = 1
On the second one: <span> Simplifying
2(x + 1) = 9
Reorder the terms:
2(1 + x) = 9
(1 * 2 + x * 2) = 9
(2 + 2x) = 9 </span> <span>Solving
2 + 2x = 9
Solving for variable 'x'. </span> <span>Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation. 2 + -2 + 2x = 9 + -2 </span> <span>Combine like terms: 2 + -2 = 0 0 + 2x = 9 + -2
2x = 9 + -2 </span> <span>Combine like terms: 9 + -2 = 7
2x = 7 </span> <span>Divide each side by '2'.
x = 3.5
Simplifying
x = 3.5
On the Third problem: </span> <span>Simplifying
8x + -5 = 2x + 25
Reorder the terms:
-5 + 8x = 2x + 25
Reorder the terms:
-5 + 8x = 25 + 2x </span> <span>Solving
-5 + 8x = 25 + 2x Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. </span> <span>Add '-2x' to each side of the equation.
-5 + 8x + -2x = 25 + 2x + -2x Combine like terms: 8x + -2x = 6x
-5 + 6x = 25 + 2x + -2x
</span> <span>Combine like terms: 2x + -2x = 0
-5 + 6x = 25 + 0
-5 + 6x = 25 </span> <span>Add '5' to each side of the equation.
-5 + 5 + 6x = 25 + 5
Combine like terms: -5 + 5 = 0
0 + 6x = 25 + 5
6x = 25 + 5
</span> <span>Combine like terms: 25 + 5 = 30 6x = 30
Divide each side by '6'.
x = 5
Simplifying
x = 5
Problem 1 (x) equals 1 Problem 2 (x) equals 3.5 Problem 3 (x) equals 5