Solving the Equation: 2(x-0.7)-16=15-(x+1.2)
In this article, we will solve the equation 2(x-0.7)-16=15-(x+1.2) step by step.
Step 1: Simplify the Equation
First, let's simplify the equation by evaluating the expressions inside the parentheses:
2(x-0.7) = 2x - 1.4 -16 = -16 15 - (x+1.2) = 15 - x - 1.2
Now, the equation becomes:
2x - 1.4 - 16 = 15 - x - 1.2
Step 2: Combine Like Terms
Next, we will combine like terms on both sides of the equation:
2x - 17.4 = 13.8 - x
Step 3: Add x to Both Sides
To isolate the variable x, we will add x to both sides of the equation:
2x - 17.4 + x = 13.8
This simplifies to:
3x - 17.4 = 13.8
Step 4: Add 17.4 to Both Sides
To get rid of the negative term, we will add 17.4 to both sides of the equation:
3x = 31.2
Step 5: Divide Both Sides by 3
Finally, we will divide both sides of the equation by 3 to solve for x:
x = 31.2/3 x = 10.4
Therefore, the value of x is 10.4.
