50(x+1)=70(x)

Solution for 50(x+1)=70(x) equation:

Simplifying
50(x + 1) = 70(x)

Reorder the terms:
50(1 + x) = 70(x)
(1 * 50 + x * 50) = 70(x)
(50 + 50x) = 70(x)

Solving
50 + 50x = 70x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-70x' to each side of the equation.
50 + 50x + -70x = 70x + -70x

Combine like terms: 50x + -70x = -20x
50 + -20x = 70x + -70x

Combine like terms: 70x + -70x = 0
50 + -20x = 0

Add '-50' to each side of the equation.
50 + -50 + -20x = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -20x = 0 + -50
-20x = 0 + -50

Combine like terms: 0 + -50 = -50
-20x = -50

Divide each side by '-20'.
x = 2.5

Simplifying
x = 2.5