x+400+x(.42)+x(1.16)=4600

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Solution for x+400+x(.42)+x(1.16)=4600 equation: 


Simplifying
x + 400 + x(0.42) + x(1.16) = 4600

Reorder the terms for easier multiplication:
x + 400 + 0.42x + x(1.16) = 4600

Reorder the terms for easier multiplication:
x + 400 + 0.42x + 1.16x = 4600

Reorder the terms:
400 + x + 0.42x + 1.16x = 4600

Combine like terms: x + 0.42x = 1.42x
400 + 1.42x + 1.16x = 4600

Combine like terms: 1.42x + 1.16x = 2.58x
400 + 2.58x = 4600

Solving
400 + 2.58x = 4600

Solving for variable 'x'.

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

Add '-400' to each side of the equation.
400 + -400 + 2.58x = 4600 + -400

Combine like terms: 400 + -400 = 0
0 + 2.58x = 4600 + -400
2.58x = 4600 + -400

Combine like terms: 4600 + -400 = 4200
2.58x = 4200

Divide each side by '2.58'.
x = 1627.906977

Simplifying
x = 1627.906977

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