Question

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

Answer 1

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