70x-1=10x-70
Combine terms.
60x = -69
Solve for x.
To solve the equation 70x - 1 = 10x - 70, we need to isolate the variable x on one side of the equation. Here's how:
1. Start by subtracting 10x from both sides:
(70x - 1) - 10x = (10x - 70) - 10x
Simplifying both sides gives us:
70x - 10x - 1 = -70
2. Combine like terms on the left side of the equation:
(70x - 10x) - 1 = -70
Simplify:
60x - 1 = -70
3. Next, add 1 to both sides of the equation to eliminate the -1 on the left side:
(60x - 1) + 1 = -70 + 1
Simplify:
60x = -69
4. Finally, divide both sides of the equation by 60 to solve for x:
60x / 60 = -69 / 60
Simplify:
x = -69/60
So, the solution to the equation 70x - 1 = 10x - 70 is x = -69/60.