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Chapter 3: Q26. (page 133)

Write the verbal sentence as an equation. Then solve the equation.

Twelve less than -9 times a number is equal to 8 minus 4 times the number.

Short Answer

Expert verified

The required equation is -9x-12=8-4x and the solution is x=-4

Step by step solution

01

Step-1 – Given

12 less than -9 times a number is equal to 8 minus 4 times the number.

02

Step-2 – To determine

We have to write the equation by writing verbal sentence as equation. Then we solve the equation.

03

Step-3 – Calculation

Let the unknown number is x

So, 12 less than -9times a number = -9x-12

8 minus 4 times the number = 8-4x

According to the question -9x-12=8-4x

Now we solve the equation,

鈭�9x鈭�12=8鈭�4xwritetheoriginalequation鈭�9x+4x鈭�12=8鈭�4x+4xadd4xtobothsides鈭�5x鈭�12=8simplify鈭�5x鈭�12鈭�8=8鈭�8subtract8frombothsides鈭�5x鈭�20=0simplify鈭�5x=20鈭�5x鈭�5=20鈭�5divideeachsideby鈭�5x=鈭�4simplify

Therefore, the solution of the equation -9x-12=8-4x is x=-4

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