ax - mn = mn + bx for x

[math_celebrity]

ax - mn = mn + bx for x

Add mn to each side:
ax - mn + mn = mn + bx + mn

Cancel the mn terms on the left side and we get:
ax = bx + 2mn

Subtract bx from each side:
ax - bx = bx - bx + 2mn

Cancel the bx terms on the right side:
ax - bx = 2mn

Factor out x on the left side:
x (a - b) = 2mn

Divide each side of the equation by (a - b):
x (a - b)/(a - b) = 2mn/(a - b)

Cancel the (a - b) on the left side and we get:
x = 2mn/(a - b)