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Solve for x
:
Ax + B = Cx + D
x =
6
3/5
7/4
1\ 3/4
0.75
Subtract Cx
from both sides:
(Ax + B) - Cx = (Cx + D) - Cx
A - Cx + B = D
B > 0 ? "Subtract" : "Add" abs(B)
B > 0 ? "from" : "to" both sides:
(A - Cx + B) + -B = D + -B
A - Cx = D - B
Divide both sides by A - C
.
\frac{A - Cx}{A - C} = \frac{D - B}{A - C}
Simplify.
x = SOLUTION
Subtract Ax
from both sides:
(Ax + B) - Ax = (Cx + D) - Ax
B = C - Ax + D
D > 0 ? "Subtract" : "Add" abs(D)
D > 0 ? "from" : "to" both sides:
B + -D = (C - Ax + D) + -D
B - D = C - Ax
Divide both sides by C - A
.
\dfrac{B - D}{C - A} = \dfrac{C - Ax}{C - A}
Simplify.
SOLUTION = x