Solving the Equation 4(x-7)=0.3(x+2)+2.11
In this article, we will solve the equation 4(x-7)=0.3(x+2)+2.11 step by step.
Step 1: Simplify the equation
First, let's simplify the equation by distributing the numbers outside the parentheses to the terms inside:
4x - 28 = 0.3x + 0.6 + 2.11
Step 2: Combine like terms
Next, let's combine like terms on each side of the equation:
4x - 28 = 0.3x + 2.71
Step 3: Isolate the variable x
Now, let's isolate the variable x by getting all the x terms on one side of the equation and the constant terms on the other side. We can do this by adding 28 to both sides of the equation:
4x = 0.3x + 2.71 + 28
This gives us:
4x = 0.3x + 30.71
Step 4: Solve for x
To solve for x, we can subtract 0.3x from both sides of the equation:
3.7x = 30.71
Finally, we can divide both sides of the equation by 3.7 to solve for x:
x = 30.71 / 3.7
x = 8.29
Therefore, the value of x that satisfies the equation 4(x-7)=0.3(x+2)+2.11 is x = 8.29.
