.17055=x+[1.74(.13-x)]

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Solution for .17055=x+[1.74(.13-x)] equation:


Simplifying
0.17055 = x + [1.74(0.13 + -1x)]
0.17055 = x + [(0.13 * 1.74 + -1x * 1.74)]
0.17055 = x + [(0.2262 + -1.74x)]
0.17055 = x + [0.2262 + -1.74x]

Remove brackets around [0.2262 + -1.74x]
0.17055 = x + 0.2262 + -1.74x

Reorder the terms:
0.17055 = 0.2262 + x + -1.74x

Combine like terms: x + -1.74x = -0.74x
0.17055 = 0.2262 + -0.74x

Solving
0.17055 = 0.2262 + -0.74x

Solving for variable 'x'.

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

Add '0.74x' to each side of the equation.
0.17055 + 0.74x = 0.2262 + -0.74x + 0.74x

Combine like terms: -0.74x + 0.74x = 0.00
0.17055 + 0.74x = 0.2262 + 0.00
0.17055 + 0.74x = 0.2262

Add '-0.17055' to each side of the equation.
0.17055 + -0.17055 + 0.74x = 0.2262 + -0.17055

Combine like terms: 0.17055 + -0.17055 = 0.00000
0.00000 + 0.74x = 0.2262 + -0.17055
0.74x = 0.2262 + -0.17055

Combine like terms: 0.2262 + -0.17055 = 0.05565
0.74x = 0.05565

Divide each side by '0.74'.
x = 0.0752027027

Simplifying
x = 0.0752027027

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