x+3+7=5(x-4) solve for x?
x + 10 = 5 x - 20
30 = 4 x
x = 15/2
x+3+7=5(x-4)
10+x=5x + -20
10=4x + -20
30=4x
x=7.5
x+3+7=5(x-4)
x + 10 = 5x - 20
10 + 20 = 5x - x
30 = 4x
30/4 = x
7.5 = x
To solve for x in the equation x + 3 + 7 = 5(x - 4), we need to simplify both sides of the equation and isolate the variable x. Here's how we can do it step by step:
1. Distribute the 5 on the right side:
x + 3 + 7 = 5x - 20
2. Combine like terms on both sides of the equation:
x + 10 = 5x - 20
3. Move x terms to one side and constant terms to the other side:
x - 5x = -20 - 10
4. Simplify:
-4x = -30
5. Divide both sides of the equation by -4:
x = (-30) / (-4)
6. Simplify the fraction:
x = 15/2 or x = 7.5
So the solution to the equation x + 3 + 7 = 5(x - 4) is x = 15/2 or x = 7.5.