I need help on the following Problem:
3x-5(3x-7)=2(x+9)+45
You first need to distribute the (-5) and the (2) on both sides of the equation.
Then combine like terms, the (x)s and the numbers.
Isolate the variable (x) onto one side.
Solve for x
this is what I got so far....
3x-5(3x-7)=2(x+9)+45
3x-15x+35=2x+18+45
-12x+35=2x+63
-35=2x+63-35
-12x=2x+28
-2x=28
-14x=28
-x=-2
Is this correct?
3x-5(3x-7)=2(x+9)+45
3x-15x+30 = 2x + 18 + 45 (distribute)
-12x + 30 = 2x + 63 (combine like terms)
------------------
30 = 14x + 63 (further combine like terms--additive property)
-33=14x (move 63 to other side [giving you -33] *simplify*
x= -2.35 (simplify, divide 14 into -33(to isolate variable)
Please check math as I may have gotten it wrong.
Hope that helped!
woops looks like my math was wrong-- mm you're answer is correct. Nice job at showing you're work!
To solve the given equation: 3x - 5(3x - 7) = 2(x + 9) + 45, follow the steps below:
Step 1: Distribute the multiplication
Start by applying the distributive property on each side of the equation. Distribute the -5 to both terms inside the parentheses on the left side, and distribute the 2 to both terms inside the parentheses on the right side.
3x - 5 * 3x + 5 * 7 = 2 * x + 2 * 9 + 45
Simplifying further, we have:
3x - 15x + 35 = 2x + 18 + 45
Step 2: Combine like terms
Next, combine the like terms on each side of the equation to simplify the expression. On the left side, combine the x terms (-15x and 3x), and on the right side, combine the constant terms (35, 18, and 45).
-12x + 35 = 2x + 63
Step 3: Move variable terms to one side
In order to isolate x, move the variable terms to one side of the equation. Subtract 2x from both sides.
-12x - 2x + 35 = 2x - 2x + 63
Simplifying further:
-14x + 35 = 63
Step 4: Move constant terms to the other side
Next, move the constant terms to the other side of the equation. Subtract 35 from both sides.
-14x + 35 - 35 = 63 - 35
Simplifying further:
-14x = 28
Step 5: Solve for x
To solve for x, divide both sides of the equation by -14.
(-14x) / -14 = 28 / -14
Simplifying further:
x = -2
Therefore, the solution to the equation 3x - 5(3x - 7) = 2(x + 9) + 45 is x = -2.