.25x+.05(x+5)+.10(4x)=5.85

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Solution for .25x+.05(x+5)+.10(4x)=5.85 equation: 


Simplifying
0.25x + 0.05(x + 5) + 0.10(4x) = 5.85

Reorder the terms:
0.25x + 0.05(5 + x) + 0.10(4x) = 5.85
0.25x + (5 * 0.05 + x * 0.05) + 0.10(4x) = 5.85
0.25x + (0.25 + 0.05x) + 0.10(4x) = 5.85

Remove parenthesis around (4x)
0.25x + 0.25 + 0.05x + 0.10 * 4x = 5.85

Multiply 0.10 * 4
0.25x + 0.25 + 0.05x + 0.4x = 5.85

Reorder the terms:
0.25 + 0.25x + 0.05x + 0.4x = 5.85

Combine like terms: 0.25x + 0.05x = 0.3x
0.25 + 0.3x + 0.4x = 5.85

Combine like terms: 0.3x + 0.4x = 0.7x
0.25 + 0.7x = 5.85

Solving
0.25 + 0.7x = 5.85

Solving for variable 'x'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + 0.7x = 5.85 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.7x = 5.85 + -0.25
0.7x = 5.85 + -0.25

Combine like terms: 5.85 + -0.25 = 5.6
0.7x = 5.6

Divide each side by '0.7'.
x = 8

Simplifying
x = 8

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