Question

14.Solve : 17(2-x ) - 5 (x +12 ) = 18​

Answer 1

Step-by-step explanation:

17(2-x)-5 (x+12)=18

34-17x-5x-60=18

-22x-26=18

-26-18=22x

-44=22x

x=-44/22

x=-2

Answer 2

Given data: The equation $17(2-x)-5(x+12)=18$

To Find: The required solution for the given equation $17(2-x)-5(x+12)=18$

Solution:

• The distributive law of multiplication over addition and subtraction can be used to find the solution.
• Distributive law over addition: $a(b+c)=ab+ac$
• Distributive law over subtraction: $a(b-c)=ab-ac$
• By using the law of distribution, the given equation can be simplified.
• $(34-17x)-(5x+60)=18$
• $34-17x-5x-60=18$
• Simplify the equation.
• $-22x-26=18$
• Transpose the value -26 to the right side, it changes from subtraction to addition.
• $-22x=18+26$
• $-22x=44$
• Transpose value -22 to right side, it changes the operation multiplication to division.
• $x=\frac{44}{-22}$
• $x=-2$
• Therefore, the required solution for the given equation $17(2-x)-5(x+12)=18$ is $x=-2$.