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What is the first step in solving this equation? 1/2x+7=2/3x-6?

User Jacobs
by
4.4k points

2 Answers

4 votes

Explanation:

doing whole question

  • Combine multiplied terms into a single fraction

12+7=23⋅−6

12+7=23⋅−6

  • Multiply by 1

12+7=23⋅−6

2+7=23⋅−6

  • Combine multiplied terms into a single fraction

2+7=23−6

2+7=23−6

  • Subtract 7 from both sides of the equation

2+7=23−6

2+7−7=23−6−7

  • Simplify

Subtract the numbers

2=23−13

  • Multiply all terms by the same value to eliminate fraction denominators

2=23−13

2⋅3⋅2=2⋅3(23−13)

  • Simplify

Cancel multiplied terms that are in the denominator

Multiply the numbers

Distribute

Combine multiplied terms into a single fraction

Multiply the numbers

Cancel terms that are in both the numerator and denominator

3=4−78

  • Subtract

4

4x4x

from both sides of the equation

3=4−78

3x=4x-783x=4x−78

3−4=4−78−4

  • Simplify

Combine like terms

−=−78

  • Divide both sides of the equation by the same term

−=−78

-x=-78−x=−78

−−1=−78−1

  • Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=78

  • x=78 is the right answer
User LilHar
by
5.7k points
1 vote

Answer:

subtract 1/2x from 2/3x

Explanation:

User WhitneyChia
by
5.2k points