Because two angles are equal, sides AB and AC will have equal lengths, and so, we can set each expression equal to each-other.
4x + 4 = 6x - 14
Subtract 4x from both sides.
4 = 2x - 14
Add 14 to both sides.
18 = 2x
Divide both sides by 2.
x = 9.
Because we have a constant value of x, we can solve for BC.
BC = 2x + 7
2(9) + 7
18 + 7
25
The value of BC is 25.
