Simplify the expression: 6 (3x−5) +2 (3x−5) −8 (3x−5)
To simplify this expression, we can first distribute the coefficients to each term within the parentheses.
Distributing 6, we get: 18x - 30
Distributing 2, we get: 6x - 10
Distributing -8, we get: -24x + 40
Now, we can combine like terms by adding or subtracting the coefficients of the same variables.
Combining like terms:
(18x + 6x - 24x) + (-30 - 10 + 40)
= (18 + 6 - 24)x + (-30 - 10 + 40)
= (0)x + 0
= 0
Therefore, the simplified expression is 0.
To simplify the expression 6(3x - 5) + 2(3x - 5) - 8(3x - 5), we can distribute each number outside the parentheses to the terms inside the parentheses.
Starting with the first term, we have:
6 * (3x) + 6 * (-5) = 18x - 30
Next, distributing the second term, we have:
2 * (3x) + 2 * (-5) = 6x - 10
Lastly, distributing the third term, we have:
-8 * (3x) + -8 * (-5) = -24x + 40
Putting it all together, the simplified expression is:
18x - 30 + 6x - 10 - 24x + 40
Now let's combine like terms:
(18x + 6x - 24x) + (-30 - 10 + 40)
Simplifying further:
(0x) + (0)
The final simplified expression is:
0
To simplify the given expression 6(3x - 5) + 2(3x - 5) - 8(3x - 5), we will use the distributive property to remove the parentheses.
Step 1: Distribute the coefficients to each term inside the parentheses:
6 * 3x = 18x
6 * -5 = -30
2 * 3x = 6x
2 * -5 = -10
-8 * 3x = -24x
-8 * -5 = 40
Now the expression becomes: 18x - 30 + 6x - 10 - 24x + 40
Step 2: Combine like terms:
(18x + 6x - 24x) - (30 + 10 - 40)
Combine the variables and constants separately:
18x + 6x - 24x = 0x (x terms cancel each other out)
30 + 10 - 40 = 0
Now the expression becomes: 0x - 0
Step 3: Simplify further:
0x - 0 = 0
Therefore, the simplified expression is 0.