5 (2^ (2x+7)) How do you solve this equation?

Simplifying

0x + 7 + 5x = 2x + 30 + 40

Anything times zero is zero.

0x + 7 + 5x = 2x + 30 + 40

Combine like terms: 0 + 7 = 7

7 + 5x = 2x + 30 + 40

Reorder the terms:

7 + 5x = 30 + 40 + 2x

Combine like terms: 30 + 40 = 70

7 + 5x = 70 + 2x

Solving

7 + 5x = 70 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.

7 + 5x + - 2x = 70 + 2x + - 2x

Combine like terms: 5x + - 2x = 3x

7 + 3x = 70 + 2x + - 2x

Combine like terms: 2x + - 2x = 0

7 + 3x = 70 + 0

7 + 3x = 70

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

7 + - 7 + 3x = 70 + - 7

Combine like terms: 7 + - 7 = 0

0 + 3x = 70 + - 7

3x = 70 + - 7

Combine like terms: 70 + - 7 = 63

3x = 63

Divide each side by '3'.

x = 21

Simplifying

x = 21