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Question

Solve the following equations.3x-2(2x-5)=2(x+3)-8. Also, verify.


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Solution

Step 1. Solution of the given equation.

Solve the given equation by Rearranging and combining the like terms:

3x-22x-5=2x+3-83x-4x+10=2x+6-83x-4x-2x=6-8-10-3x=-12x=123x=4

Step 2. Verification.

Verify the result by substituting x=4 in the given equation:

LHS=3×4-22×4-5=12-28-5=12-2×3=12-6=6

and

RHS=24+3-8=2×7-8=14-8=6

Hence,LHS=RHS

Hence, the solution of 3x-2(2x-5)=2(x+3)-8 is x=4 and it is verified.


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