5(3x+4y-8)+2(4x+2y-6)=
Please explain how to do this too.
left parenthesis:
multiply the 5 through to get...
15x+20y-40
You do the right paren.
Then gather like terms.
please help me
what does the right parenthesis expand to when multiplied by 2?
8x+4y-12
right. Now combine like terms.
there are none... right?
x terms are like, y terms are like, and number terms are like.
15x+8x + 20y+4y -40-12
combine them the x, the y, and the numbers. the number term is -52
oh i thought you mean in just the right sde. ummm so it would be 23x+24y-28?
To solve the given equation, you need to simplify the expression on the left side and then use the distributive property to remove the brackets. Here's how you can do it step by step:
1. Start by multiplying each term inside the brackets separately with the coefficient outside the brackets:
5(3x + 4y - 8) + 2(4x + 2y - 6)
Distribute the coefficient of 5:
= 5 * 3x + 5 * 4y + 5 * (-8)
Distribute the coefficient of 2:
= 2 * 4x + 2 * 2y + 2 * (-6)
Simplify both sides:
= 15x + 20y - 40 + 8x + 4y - 12
2. Combine like terms on both sides of the equation:
= 15x + 8x + 20y + 4y - 40 - 12
Add the x-terms:
= (15x + 8x) + 20y + 4y - 40 - 12
= 23x + 20y + 4y - 40 - 12
Combine the y-terms:
= 23x + (20y + 4y) - 40 - 12
= 23x + 24y - 40 - 12
Simplify further:
= 23x + 24y - 52
Therefore, the simplified form of the given equation is 23x + 24y - 52.