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Chapter 2: Q 2.6 (page 101)

Solve:23(9x-12)=8+2x.

Short Answer

Expert verified

The solution is x=4.

Step by step solution

01

Step 1. Given information.

Solve the below linear equation,

23(9x-12)=8+2x

02

Step 2. Use the Distributive Property to remove any parentheses.

Combine like terms.

23(9x-12)=8+2x2路3x-2路4=8+2x6x-8=8+2x6x-8-2x=8+2x-2x4x-8=84x-8+8=8+84x=164x4=164x=4

03

Step 3. Check the solution.

Put x=4into the equation.

23(9x-12)=8+2x23(9路4-12)=8+2路42336-12=8+823路24=162路8=1616=16

Hence, the solution is correct.

04

Step 4. Conclusion.

The solution of the given linear equation isx=4.

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