Solve for x: 3x + 20 and 2x + 24
To solve for x in the equations 3x + 20 and 2x + 24, you need to find the value of x that satisfies both equations simultaneously.
Step 1: Set the two equations equal to each other:
3x + 20 = 2x + 24
Step 2: Simplify the equation by combining like terms:
3x - 2x + 20 = 2x - 2x + 24
x + 20 = 24
Step 3: Subtract 20 from both sides of the equation to isolate the variable x:
x + 20 - 20 = 24 - 20
x = 4
Therefore, x = 4 is the solution that satisfies both equations.
To check your answer, substitute x = 4 back into the original equations:
3(4) + 20 = 32
2(4) + 24 = 32
Both equations evaluate to 32 when x = 4, which confirms that x = 4 is the correct solution.