0.10(x+15)+0.25x+0.05(x-1)=4.55

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Solution for 0.10(x+15)+0.25x+0.05(x-1)=4.55 equation: 


Simplifying
0.10(x + 15) + 0.25x + 0.05(x + -1) = 4.55

Reorder the terms:
0.10(15 + x) + 0.25x + 0.05(x + -1) = 4.55
(15 * 0.10 + x * 0.10) + 0.25x + 0.05(x + -1) = 4.55
(1.5 + 0.10x) + 0.25x + 0.05(x + -1) = 4.55

Reorder the terms:
1.5 + 0.10x + 0.25x + 0.05(-1 + x) = 4.55
1.5 + 0.10x + 0.25x + (-1 * 0.05 + x * 0.05) = 4.55
1.5 + 0.10x + 0.25x + (-0.05 + 0.05x) = 4.55

Reorder the terms:
1.5 + -0.05 + 0.10x + 0.25x + 0.05x = 4.55

Combine like terms: 1.5 + -0.05 = 1.45
1.45 + 0.10x + 0.25x + 0.05x = 4.55

Combine like terms: 0.10x + 0.25x = 0.35x
1.45 + 0.35x + 0.05x = 4.55

Combine like terms: 0.35x + 0.05x = 0.4x
1.45 + 0.4x = 4.55

Solving
1.45 + 0.4x = 4.55

Solving for variable 'x'.

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

Add '-1.45' to each side of the equation.
1.45 + -1.45 + 0.4x = 4.55 + -1.45

Combine like terms: 1.45 + -1.45 = 0.00
0.00 + 0.4x = 4.55 + -1.45
0.4x = 4.55 + -1.45

Combine like terms: 4.55 + -1.45 = 3.1
0.4x = 3.1

Divide each side by '0.4'.
x = 7.75

Simplifying
x = 7.75

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