Solution for 5x-7=2x+8
Answers
Answer:
x=5
Step-by-step explanation:
5x−7=2x+8
Step 1: Subtract 2x from both sides.
5x−7−2x=2x+8−2x
3x−7=8
Step 2: Add 7 to both sides.
3x−7+7=8+7
3x=15
Step 3: Divide both sides by 3.
3x/3=15/3
x=5
Step-by-step explanation:
Simplifying
5x + -7 = 2x + 8
Reorder the terms:
-7 + 5x = 2x + 8
Reorder the terms:
-7 + 5x = 8 + 2x
Solving
-7 + 5x = 8 + 2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-7 + 5x + -2x = 8 + 2x + -2x
Combine like terms: 5x + -2x = 3x
-7 + 3x = 8 + 2x + -2x
Combine like terms: 2x + -2x = 0
-7 + 3x = 8 + 0
-7 + 3x = 8
Add '7' to each side of the equation.
-7 + 7 + 3x = 8 + 7
Combine like terms: -7 + 7 = 0
0 + 3x = 8 + 7
3x = 8 + 7
Combine like terms: 8 + 7 = 15
3x = 15
Divide each side by '3'.
x = 5
Simplifying
x = 5