how would do you do expressions like 5(2x+6)=-4(-5-2x)+3x
5(2x+6)=-4(-5-2x)+3x
10x + 30 = 20 + 8x + 3x
30 - 20 = 11x - 10x
10 = x
First, you need to distribute with the two different parentheses.
5(2x)+5(6) = -4(-5) + -4(-2x) + 3x.
When you multiply, you get
10x + 30 = 20 + 8x + 3x
combine like terms
10x + 30 = 20 + 11x
Now, you need to get x alone in order to solve it. so, you subtract 20 from both sides to get the 11x alone. Now you have
10x + 10 = 11x
now subtract 10x from both sides
10 = 1x
divide by one
10=x
x=10
And there's your answer. Hope I helped!
5*(2x+6)= -4*(-5-2x)+3x
10x+30=20+8x+3x
10x+30=20+11x
10x-11x=20-30
-x=-10 Multiply with -1
x=10
To solve the given equation:
5(2x + 6) = -4(-5 - 2x) + 3x
Here's a step-by-step guide on how to solve it:
Step 1: Distribute the coefficients to simplify the equation:
10x + 30 = 20x + 20 + 3x
Step 2: Combine like terms on both sides of the equation:
10x + 30 = 23x + 20
Step 3: Move all the x terms to one side and the constant terms to the other side:
10x - 23x = 20 - 30
-13x = -10
Step 4: Divide both sides by -13 to isolate x:
x = -10 / -13
x = 10/13
So, the solution to the equation is x = 10/13.