Solve the inequality 2x + 30 ≥ 7x

Answer: 2x + 30 = 7x

Step-by-step explanation: Simplifying

2x + 30 = 7x

Reorder the terms:

30 + 2x = 7x

Solving

30 + 2x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.

30 + 2x + - 7x = 7x + - 7x

Combine like terms: 2x + - 7x = - 5x

30 + - 5x = 7x + - 7x

Combine like terms: 7x + - 7x = 0

30 + - 5x = 0

Add '-30' to each side of the equation.

30 + - 30 + - 5x = 0 + - 30

Combine like terms: 30 + - 30 = 0

0 + - 5x = 0 + - 30

-5x = 0 + - 30

Combine like terms: 0 + - 30 = - 30

-5x = - 30

Divide each side by '-5'.

x = 6

Simplifying

x = 6