(4x+2)-(12x+8)+2(5x-3)=6+11
Are you supposed to solve for x?
Start by combining terms.
2x - 12 = 17
Your turn
You are supposed to solve for x. For example, 2x-12=17 you have to solve for x (Hint: 29/2)
To solve the given equation, we need to simplify both sides of the equation by combining like terms.
Let's start by simplifying the left side of the equation:
(4x + 2) - (12x + 8) + 2(5x - 3)
To remove the parentheses, we distribute the coefficients:
= 4x + 2 - 12x - 8 + 10x - 6
Next, combine the like terms:
= (4x - 12x + 10x) + (2 - 8 - 6)
= 2x - 12
Now, let's simplify the right side of the equation:
6 + 11
Since there are no variables involved, the right side is already simplified.
Now we have:
2x - 12 = 6 + 11
To solve for x, we can start by grouping all the terms containing x to one side and all the constant terms to the other side:
2x - 12 = 17
To isolate x, we can add 12 to both sides of the equation:
2x = 17 + 12
= 29
Finally, divide both sides of the equation by 2 to get the value of x:
x = 29 / 2
And thus, x = 14.5 is the solution to the equation.