How do I solve the equation [tex]3x - 7 = 5x + 13[/tex]?

3 x − 7 = 5 x + 13 ∣ + 7 3 x − 7 + 7 = 5 x + 13 + 7 3 x = 5 x + 20 ∣ ( − 5 x ) 3 x − 5 x = 5 x − 5 x + 20 − 2 x = 20 / : ( − 2 ) x = − 2 20 ​ x = − 10

Answered by Lilith | 2024-06-10

3x-7=5x+13 -13 -13

3x-20=5x -3x -3x

-20 = 2x -20 divided by 2 x = -10

Answered by LemonsAreEvil | 2024-06-10

To solve the equation 3 x − 7 = 5 x + 13 , we isolate x by moving terms around, leading to x = − 10 . After checking our solution, it holds true as both sides of the equation equal -37. Thus, the solution is confirmed as correct.
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Answered by Lilith | 2024-10-01