1250+27.50x=1400+20x

x = 20

Step-by-step explanation:

Simplifying

1250 + 27.50x = 1400 + 20x

Solving

1250 + 27.50x = 1400 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.

1250 + 27.50x + - 20x = 1400 + 20x + - 20x

Combine like terms: 27.50x + - 20x = 7.5x

1250 + 7.5x = 1400 + 20x + - 20x

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

1250 + 7.5x = 1400 + 0

1250 + 7.5x = 1400

Add '-1250' to each side of the equation.

1250 + - 1250 + 7.5x = 1400 + - 1250

Combine like terms: 1250 + - 1250 = 0

0 + 7.5x = 1400 + - 1250

7.5x = 1400 + - 1250

Combine like terms: 1400 + - 1250 = 150

7.5x = 150

Divide each side by '7.5'.

x = 20

Simplifying

x = 20