.133=x+(.105-x)(1.45)

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Solution for .133=x+(.105-x)(1.45) equation: 


Simplifying
0.133 = x + (0.105 + -1x)(1.45)

Reorder the terms for easier multiplication:
0.133 = x + 1.45(0.105 + -1x)
0.133 = x + (0.105 * 1.45 + -1x * 1.45)
0.133 = x + (0.15225 + -1.45x)

Reorder the terms:
0.133 = 0.15225 + x + -1.45x

Combine like terms: x + -1.45x = -0.45x
0.133 = 0.15225 + -0.45x

Solving
0.133 = 0.15225 + -0.45x

Solving for variable 'x'.

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

Add '0.45x' to each side of the equation.
0.133 + 0.45x = 0.15225 + -0.45x + 0.45x

Combine like terms: -0.45x + 0.45x = 0.00
0.133 + 0.45x = 0.15225 + 0.00
0.133 + 0.45x = 0.15225

Add '-0.133' to each side of the equation.
0.133 + -0.133 + 0.45x = 0.15225 + -0.133

Combine like terms: 0.133 + -0.133 = 0.000
0.000 + 0.45x = 0.15225 + -0.133
0.45x = 0.15225 + -0.133

Combine like terms: 0.15225 + -0.133 = 0.01925
0.45x = 0.01925

Divide each side by '0.45'.
x = 0.04277777778

Simplifying
x = 0.04277777778

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