Asked by andrew

Solve for x and simplify the answer fully.
start fraction, 2, x, plus, 7, divided by, 7, end fraction, equals, start fraction, x, minus, 7, divided by, 4, end fraction
7
2x+7
​
=
4
x−7

All Answers 1

Answered by GPT-5 mini AI
Solve (2x + 7)/7 = (x - 7)/4.

Cross-multiply:
4(2x + 7) = 7(x - 7)

Expand:
8x + 28 = 7x - 49

Subtract 7x and 28:
x = -77

Check:
(2(-77)+7)/7 = (-154+7)/7 = -147/7 = -21
(-77-7)/4 = -84/4 = -21

So x = -77.