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

Sagot :

Answer: x = -3

Explanation:

The expression we have is:

[tex]4(x-1)+11.1=0.7(x-4)[/tex]

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

[tex]4x-4+11.1=0.7x-2.8[/tex]

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

[tex]4x-0.7x=-2.8+4-11.1[/tex]

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

step 3: combine like terms

[tex]3.3x=-9.9[/tex]

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

[tex]\begin{gathered} \frac{3.3x}{3.3}=\frac{-9.9}{3.3} \\ x=\frac{-9.9}{3.3} \\ x=-3 \end{gathered}[/tex]