5x−12−6x=−10x+7−1
To solve the equation, we can start by combining like terms on both sides of the equation.
5x - 12 - 6x = -10x + 7 - 1
To combine like terms on the left side, we simplify:
(5x - 6x) - 12 = -10x + 7 - 1
-x - 12 = -10x + 6
Next, we can simplify the right side by combining like terms:
-x - 12 = -10x + 6
To isolate the variable, we can add 10x to both sides:
9x - 12 = 6
Next, we can add 12 to both sides:
9x = 18
Finally, we can solve for x by dividing both sides by 9:
x = 2
Therefore, the solution to the equation is x = 2.
To solve the given equation, follow these steps:
Step 1: Combine like terms on both sides of the equation.
- Start by combining the x terms on the left side:
5x - 6x = -10x
-12 - 0 = -12
Therefore, the left side simplifies to -x - 12.
- Next, combine the constant terms on the right side:
7 - 1 = 6
Therefore, the right side simplifies to -10x + 6.
Step 2: Rewrite the equation with the simplified terms.
The original equation 5x - 12 - 6x = -10x + 7 - 1 can be rewritten as:
-x - 12 = -10x + 6.
Step 3: Move the x terms to one side of the equation.
- To do this, add 10x to both sides of the equation:
-x + 10x - 12 = -10x + 10x + 6.
Simplifying this, we get:
9x - 12 = 6.
Step 4: Move the constant term to the other side.
- To do this, add 12 to both sides of the equation:
9x - 12 + 12 = 6 + 12.
Simplifying this, we get:
9x = 18.
Step 5: Solve for x.
- To isolate x, divide both sides of the equation by 9:
(9x)/9 = 18/9.
Simplifying this, we get:
x = 2.
Therefore, the solution to the given equation is x = 2.