2/5(5x-3) - 1/3(12x-5). Have the correct answer but need someone to show me how to solve for it.
2x-6/5 - 4x+5/3
-2x +1/15 (-6+25)
-2x+ 19/15
Amber, I'm not sure if my solution is correct but I will take a stab at it.
Your problem was:
2/5(5x-3)-1/3(12x-5)
2x-6/5-4x+5/3
-2x-18/15+25/15
-2x+7/15
You made a mistake bobpursley in solving Amber's problem.
6/5 does NOT equal 6/15! 6/5=18/15 Therefore your calculation in line 2 of your solution is incorrect!
It SHOULD read:
-2x+1/15(-18+25)
-2x+7/15
Thanks. I see that. You are correct.
2/5(5x-3) - 1/3(12x-5)
10x/5-3/1(5/5) -12x/3 +5/1(3/3)
2x-3 -4x +5
2x-4x - 3+5
-2x + 2
To solve the expression 2/5(5x-3) - 1/3(12x-5), you need to apply the distributive property, simplify, and then combine like terms. Here's how to do it step by step:
Step 1: Apply the distributive property for each term.
2/5 * 5x = 2x
2/5 * (-3) = -6/5
1/3 * 12x = 4x
1/3 * (-5) = -5/3
So, the expression becomes:
2x - 6/5 - 4x + 5/3
Step 2: Combine like terms by adding or subtracting coefficients.
(2x - 4x) - (6/5 - 5/3)
Simplify further by finding a common denominator for the fractions:
Least Common Denominator (LCD) of 5 and 3 is 15.
Step 3: Rewrite the fractions with the common denominator.
(2x - 4x) - (18/15 - 25/15)
-2x - (18/15 - 25/15)
Step 4: Subtract the fractions:
(2x - 4x) - (-7/15)
-2x + 7/15
So, the simplified form of the expression 2/5(5x-3) - 1/3(12x-5) is -2x + 7/15.