5400=x+0.09x+3(5400-x+0.09x)

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Solution for 5400=x+0.09x+3(5400-x+0.09x) equation:


Simplifying
5400 = x + 0.09x + 3(5400 + -1x + 0.09x)

Combine like terms: -1x + 0.09x = -0.91x
5400 = x + 0.09x + 3(5400 + -0.91x)
5400 = x + 0.09x + (5400 * 3 + -0.91x * 3)
5400 = x + 0.09x + (16200 + -2.73x)

Reorder the terms:
5400 = 16200 + x + 0.09x + -2.73x

Combine like terms: x + 0.09x = 1.09x
5400 = 16200 + 1.09x + -2.73x

Combine like terms: 1.09x + -2.73x = -1.64x
5400 = 16200 + -1.64x

Solving
5400 = 16200 + -1.64x

Solving for variable 'x'.

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

Add '1.64x' to each side of the equation.
5400 + 1.64x = 16200 + -1.64x + 1.64x

Combine like terms: -1.64x + 1.64x = 0.00
5400 + 1.64x = 16200 + 0.00
5400 + 1.64x = 16200

Add '-5400' to each side of the equation.
5400 + -5400 + 1.64x = 16200 + -5400

Combine like terms: 5400 + -5400 = 0
0 + 1.64x = 16200 + -5400
1.64x = 16200 + -5400

Combine like terms: 16200 + -5400 = 10800
1.64x = 10800

Divide each side by '1.64'.
x = 6585.365854

Simplifying
x = 6585.365854

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