.05=x+1.3(.1-x)

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Solution for .05=x+1.3(.1-x) equation:


Simplifying
0.05 = x + 1.3(0.1 + -1x)
0.05 = x + (0.1 * 1.3 + -1x * 1.3)
0.05 = x + (0.13 + -1.3x)

Reorder the terms:
0.05 = 0.13 + x + -1.3x

Combine like terms: x + -1.3x = -0.3x
0.05 = 0.13 + -0.3x

Solving
0.05 = 0.13 + -0.3x

Solving for variable 'x'.

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

Add '0.3x' to each side of the equation.
0.05 + 0.3x = 0.13 + -0.3x + 0.3x

Combine like terms: -0.3x + 0.3x = 0.0
0.05 + 0.3x = 0.13 + 0.0
0.05 + 0.3x = 0.13

Add '-0.05' to each side of the equation.
0.05 + -0.05 + 0.3x = 0.13 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 0.3x = 0.13 + -0.05
0.3x = 0.13 + -0.05

Combine like terms: 0.13 + -0.05 = 0.08
0.3x = 0.08

Divide each side by '0.3'.
x = 0.2666666667

Simplifying
x = 0.2666666667

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