Evaluate the Expression: 5x - 4 × 6 = 4x + 1 - 3x + 10/2
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Parentheses: None
- Exponents: None
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Let's break down the expression into smaller parts:
Left Side:
5x - 4 × 6
= 5x - 24 (multiply 4 by 6)
Right Side:
4x + 1 - 3x + 10/2
= 4x + 1 - 3x + 5 (divide 10 by 2)
Now, let's simplify the right side:
= (4x - 3x) + 1 + 5
= x + 6 (combine like terms)
Now we can equate the two expressions:
5x - 24 = x + 6
Solve for x:
To solve for x, we can add 24 to both sides of the equation:
5x = x + 30
Subtract x from both sides:
4x = 30
Divide both sides by 4:
x = 30/4
x = 7.5
Therefore, the value of x is 7.5.
