x+9=5(4x-2)

expand both sides to remove parentheses:

x+9 = 20x -10
Collect like terms on the left side of the equals sign, and constant terms on the right:
x-20x = -10 -9
-19x = -19
divide both sides by the coefficient of the term in x:
x = -19/-19
=1

distribute the 5 first

x+9=20x-10

combine like terms

19=19x

x= 19/19

x=1

thanks

To solve the given equation x+9=5(4x-2), we need to find the value of x that satisfies the equation. Here's how to do it step by step:

1. Distribute the 5 on the right side of the equation:
x + 9 = 20x - 10

2. Simplify the equation by combining like terms. Move all terms containing x to one side of the equation and the constant terms to the other side:
x - 20x = -10 - 9
-19x = -19

3. Divide both sides of the equation by -19 to isolate x:
-19x / -19 = -19 / -19
x = 1

So, the solution to the equation x + 9 = 5(4x - 2) is x = 1.