7 + 3x = 13 + 5x
Add 5x to both side
7 + 3x + -5x = 13 + 5x + -5x
This two is 0 5x + -5x = 0
Add seven on both sides 7 + -7 + -2x = 13 + -7
3 + -7 = 6
x = -3
7 + 3 x = 5 x + 13 7 + 3 x − 3 x = 5 x + 13 − 3 x 7 = 2 x + 13 7 − 13 = 2 x + 13 − 13 − 6 = 2 x 2 − 6 = 2 2 x − 3 = x
The solution to the equation 7 + 3 x = 5 x + 13 is x = − 3 . This is found by isolating x through subtraction and division. Verification shows both sides of the original equation are equal when substituting x = − 3 .
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