-0.10(9)+0.45x=0.05(x-2)

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Solution for -0.10(9)+0.45x=0.05(x-2) equation: 


Simplifying
-0.10(9) + 0.45x = 0.05(x + -2)

Multiply -0.10 * 9
-0.9 + 0.45x = 0.05(x + -2)

Reorder the terms:
-0.9 + 0.45x = 0.05(-2 + x)
-0.9 + 0.45x = (-2 * 0.05 + x * 0.05)
-0.9 + 0.45x = (-0.1 + 0.05x)

Solving
-0.9 + 0.45x = -0.1 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
-0.9 + 0.45x + -0.05x = -0.1 + 0.05x + -0.05x

Combine like terms: 0.45x + -0.05x = 0.4x
-0.9 + 0.4x = -0.1 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-0.9 + 0.4x = -0.1 + 0.00
-0.9 + 0.4x = -0.1

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.4x = -0.1 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.4x = -0.1 + 0.9
0.4x = -0.1 + 0.9

Combine like terms: -0.1 + 0.9 = 0.8
0.4x = 0.8

Divide each side by '0.4'.
x = 2

Simplifying
x = 2

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