What value will make the equation
6(x+5)=3(x-14) true?
6(x+5)=3(x-14)
6x + 30 = 3x - 42
3x = -42 + (-30)
3x = -72
x = -?
I understand that part but I'm just not sure when the question asks me what VALUE will make the equation TRUE will it be x=-72? because I don't think that's what there asking me.
I don't see what else the question is asking.
The equation is true when you find that x = -24.
Substitute -24 in the original equation to prove that it is the correct value of x.
the lesser of two consecutive even intergers is 10 more than one-half greater. Find the intergers
To find the value that makes the equation true, let's solve it step by step:
1. Start by distributing the numbers outside the parentheses:
6x + 30 = 3x - 42
2. Simplify the equation by combining like terms:
6x - 3x = - 42 - 30
3x = -72
3. Divide both sides of the equation by 3 to isolate the variable:
x = -72 ÷ 3
x = -24
Therefore, the value that makes the equation 6(x+5) = 3(x-14) true is x = -24.