1/5(2x-10) + 4x = -3(1/5x + 4. Solve for x. I need some really help! please and thank you
Ms.Sue?
1/5(2x-10) + 4x = -3(1/5x + 4
I see no closing bracket on the Right Side
so I will assume you meant
1/5(2x-10) + 4x = -3(1/5x + 4)
(1/5)(2x-10) + 4x = (-3/5)x - 12
multiply each term by 5
2x-10 + 20x = -3x - 60
25x = -50
x = -2
To solve the equation, we will simplify the expression on the left side of the equation and then solve for x step by step. Let's start:
1/5(2x-10) + 4x = -3(1/5x + 4)
First, we'll simplify the expressions inside the parentheses.
1/5 * (2x) - 1/5 * (10) + 4x = -3(1/5x + 4)
Now we distribute the 1/5 to both terms inside the first parentheses and distribute -3 to both terms inside the second parentheses.
2/5x - 2 + 4x = -3/5x - 12
Next, we combine like terms on each side of the equation.
(2/5x + 4x) - 2 = -3/5x - 12
Multiply each term with the least common denominator (LCD), which is 5.
(2 + 20x) / 5 - 2 = -3/5x - 12
Now we multiply both sides of the equation by 5 to eliminate the denominators.
5/1 * ((2 + 20x) / 5 - 2) = 5/1 * (-3/5x - 12)
This simplifies to:
2 + 20x - 10 = -3x - 60
Simplify further by combining like terms.
20x - 8 = -3x - 60
Now, let's isolate the variable terms on one side and the constant terms on the other side of the equation by adding 3x to both sides.
20x + 3x - 8 = -3x + 3x - 60
This simplifies to:
23x - 8 = -60
Next, we'll isolate the variable term by adding 8 to both sides.
23x - 8 + 8 = -60 + 8
This simplifies to:
23x = -52
Finally, solve for x by dividing both sides by 23.
23x / 23 = -52 / 23
This simplifies to:
x = -52/23
So, the solution to the equation is x = -52/23.