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Chapter 2: Q.22. (page 111)

Solve the linear equation-12+8x-5=-4+35x-2.

Short Answer

Expert verified

The solution isx=-6.

Step by step solution

01

Step 1. Given information.

The given equation is-12+8x-5=-4+35x-2.

02

Step 2. Apply the distributive property to simplify the equation.

Simplify each side of the equation.

-12+8x-8脳5=-4+3脳5x-3脳2-12+8x-40=-4+15x-68x-52=15x-10

03

Step 3. Collect all variables terms on other side of the equation.

Subtract 15xfrom each side.

8x-52-15x=15x-10-15x-7x-52=-10

04

Step 4. Collect all constant terms on other side of the equation and then simplify.

Add 52to each side.

-7x-52+52=-10+52-7x=42

Divide each side by-7.

-7x-7=42-7x=-6

Hence, the solution of the given linear equation isx=-6.

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