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1.Solve for x. Show each step of the solution. 2.5(4 – x) + 16 = 72 – 5(2x + 20)

Sagot :

Answer:

Applying the distributive property we get:

[tex]\begin{gathered} 2.5\cdot4-2.5x+16=72-5\cdot2x-5\cdot20, \\ 10-2.5x+16=72-10x-100. \end{gathered}[/tex]

Adding like terms we get:

[tex]26-2.5x=-28-10x\text{.}[/tex]

Adding 10x to the above equation we get:

[tex]\begin{gathered} 26-2.5x+10x=-28-10x+10x, \\ 26+7.5x=-28. \end{gathered}[/tex]

Subtracting 26 from the above equation we get:

[tex]\begin{gathered} 26+7.5x-26=-28-26, \\ 7.5x=-54 \end{gathered}[/tex]

Finally, dividing the above equation by 7.5 we get:

[tex]\begin{gathered} \frac{7.5x}{7.5}=\frac{-54}{7.5}, \\ x=-7.2. \end{gathered}[/tex]