Question

Find the solution to the following equation.4(x - 1) + 11.1 = 7(x - 4)

Answer 1

Answer: x = -3

Step-by-step explanation:

The expression we have is:

`4(x-1)+11.1=0.7(x-4)`

Step 1: Use the distributive property, multiply the number outside the parenthesis by the numbers or terms inside the parenthesis

`4x-4+11.1=0.7x-2.8`

Step 2: Move all of the terms with x to the left, and all of the independent terms to the right side of the equation

`4x-0.7x=-2.8+4-11.1`

Note that we we move a term to the other side of the equation they change of sig.

step 3: combine like terms

`3.3x=-9.9`

Step 4: Divide both sides of the equation by 3.3 to solve for x

`\begin{gathered} (3.3x)/(3.3)=(-9.9)/(3.3) \\ x=(-9.9)/(3.3) \\ x=-3 \end{gathered}`