3640=x(1+0.05*6)

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Solution for 3640=x(1+0.05*6) equation:


Simplifying
3640 = x(1 + 0.05 * 6)

Multiply 0.05 * 6
3640 = x(1 + 0.3)

Combine like terms: 1 + 0.3 = 1.3
3640 = x(1.3)

Reorder the terms for easier multiplication:
3640 = 1.3x

Solving
3640 = 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
3640 + -1.3x = 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
3640 + -1.3x = 0.0

Add '-3640' to each side of the equation.
3640 + -3640 + -1.3x = 0.0 + -3640

Combine like terms: 3640 + -3640 = 0
0 + -1.3x = 0.0 + -3640
-1.3x = 0.0 + -3640

Combine like terms: 0.0 + -3640 = -3640
-1.3x = -3640

Divide each side by '-1.3'.
x = 2800

Simplifying
x = 2800

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