how do i figure this out step by step?
3x-7=5x+13
Start out by writing out the equation again.
3x-7=5x+13
Bring all variables and constants to either sides of the equation.
3x-7=5x+13
-2x=20
Finally, solve for x.
-2x=20
x=-10
The goal of the problem is to get the x by itself and figure out what x is. The first thing you should do is work with the whole numbers 7 and 13.
3x-7=5x+13
add 7 to both sides. By adding 7 to both sides you are not changing the equation but equaling it out. the new equation should be
3x=5x+20
Now subtract 5x from each side
your new equation should be
-2x=20
divide each side by -2
-2x/-2=20/-2
x= -10
Thanks Emily Teacher!
To solve the equation 3x - 7 = 5x + 13 step by step, follow these steps:
Step 1: Start by collecting the variable terms on one side and the constant terms on the other side of the equation. In this case, you want to isolate the x term.
Given equation: 3x - 7 = 5x + 13
To isolate x on one side, subtract 5x from both sides:
3x - 5x - 7 = 5x - 5x + 13
Simplify the equation:
-2x - 7 = 13
Step 2: Now, isolate the constant term on the other side of the equation. In this case, you want to isolate the -7 term.
Add 7 to both sides of the equation:
-2x - 7 + 7 = 13 + 7
Simplify the equation:
-2x = 20
Step 3: Divide both sides of the equation by the coefficient of x, which is -2, to solve for x.
Divide by -2:
-2x / -2 = 20 / -2
Simplify the equation:
x = -10
The solution to the equation 3x - 7 = 5x + 13 is x = -10.