.05(x+1)+.1(-2x+13)+.25x=1.55

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Solution for .05(x+1)+.1(-2x+13)+.25x=1.55 equation: 


Simplifying
0.05(x + 1) + 0.1(-2x + 13) + 0.25x = 1.55

Reorder the terms:
0.05(1 + x) + 0.1(-2x + 13) + 0.25x = 1.55
(1 * 0.05 + x * 0.05) + 0.1(-2x + 13) + 0.25x = 1.55
(0.05 + 0.05x) + 0.1(-2x + 13) + 0.25x = 1.55

Reorder the terms:
0.05 + 0.05x + 0.1(13 + -2x) + 0.25x = 1.55
0.05 + 0.05x + (13 * 0.1 + -2x * 0.1) + 0.25x = 1.55
0.05 + 0.05x + (1.3 + -0.2x) + 0.25x = 1.55

Reorder the terms:
0.05 + 1.3 + 0.05x + -0.2x + 0.25x = 1.55

Combine like terms: 0.05 + 1.3 = 1.35
1.35 + 0.05x + -0.2x + 0.25x = 1.55

Combine like terms: 0.05x + -0.2x = -0.15x
1.35 + -0.15x + 0.25x = 1.55

Combine like terms: -0.15x + 0.25x = 0.1x
1.35 + 0.1x = 1.55

Solving
1.35 + 0.1x = 1.55

Solving for variable 'x'.

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

Add '-1.35' to each side of the equation.
1.35 + -1.35 + 0.1x = 1.55 + -1.35

Combine like terms: 1.35 + -1.35 = 0.00
0.00 + 0.1x = 1.55 + -1.35
0.1x = 1.55 + -1.35

Combine like terms: 1.55 + -1.35 = 0.2
0.1x = 0.2

Divide each side by '0.1'.
x = 2

Simplifying
x = 2

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