5400=1.09x+3(5400-1.09x)

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Solution for 5400=1.09x+3(5400-1.09x) equation:


Simplifying
5400 = 1.09x + 3(5400 + -1.09x)
5400 = 1.09x + (5400 * 3 + -1.09x * 3)
5400 = 1.09x + (16200 + -3.27x)

Reorder the terms:
5400 = 16200 + 1.09x + -3.27x

Combine like terms: 1.09x + -3.27x = -2.18x
5400 = 16200 + -2.18x

Solving
5400 = 16200 + -2.18x

Solving for variable 'x'.

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

Add '2.18x' to each side of the equation.
5400 + 2.18x = 16200 + -2.18x + 2.18x

Combine like terms: -2.18x + 2.18x = 0.00
5400 + 2.18x = 16200 + 0.00
5400 + 2.18x = 16200

Add '-5400' to each side of the equation.
5400 + -5400 + 2.18x = 16200 + -5400

Combine like terms: 5400 + -5400 = 0
0 + 2.18x = 16200 + -5400
2.18x = 16200 + -5400

Combine like terms: 16200 + -5400 = 10800
2.18x = 10800

Divide each side by '2.18'.
x = 4954.12844

Simplifying
x = 4954.12844

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