0.10(45)+0.55x=0.05(x-10)

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Solution for 0.10(45)+0.55x=0.05(x-10) equation: 


Simplifying
0.10(45) + 0.55x = 0.05(x + -10)

Multiply 0.10 * 45
4.5 + 0.55x = 0.05(x + -10)

Reorder the terms:
4.5 + 0.55x = 0.05(-10 + x)
4.5 + 0.55x = (-10 * 0.05 + x * 0.05)
4.5 + 0.55x = (-0.5 + 0.05x)

Solving
4.5 + 0.55x = -0.5 + 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.
4.5 + 0.55x + -0.05x = -0.5 + 0.05x + -0.05x

Combine like terms: 0.55x + -0.05x = 0.5x
4.5 + 0.5x = -0.5 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
4.5 + 0.5x = -0.5 + 0.00
4.5 + 0.5x = -0.5

Add '-4.5' to each side of the equation.
4.5 + -4.5 + 0.5x = -0.5 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + 0.5x = -0.5 + -4.5
0.5x = -0.5 + -4.5

Combine like terms: -0.5 + -4.5 = -5
0.5x = -5

Divide each side by '0.5'.
x = -10

Simplifying
x = -10

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