-0.10(45)+0.30x=0.05(x-20)

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Solution for -0.10(45)+0.30x=0.05(x-20) equation: 


Simplifying
-0.10(45) + 0.30x = 0.05(x + -20)

Multiply -0.10 * 45
-4.5 + 0.30x = 0.05(x + -20)

Reorder the terms:
-4.5 + 0.30x = 0.05(-20 + x)
-4.5 + 0.30x = (-20 * 0.05 + x * 0.05)
-4.5 + 0.30x = (-1 + 0.05x)

Solving
-4.5 + 0.30x = -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.
-4.5 + 0.30x + -0.05x = -1 + 0.05x + -0.05x

Combine like terms: 0.30x + -0.05x = 0.25x
-4.5 + 0.25x = -1 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-4.5 + 0.25x = -1 + 0.00
-4.5 + 0.25x = -1

Add '4.5' to each side of the equation.
-4.5 + 4.5 + 0.25x = -1 + 4.5

Combine like terms: -4.5 + 4.5 = 0.0
0.0 + 0.25x = -1 + 4.5
0.25x = -1 + 4.5

Combine like terms: -1 + 4.5 = 3.5
0.25x = 3.5

Divide each side by '0.25'.
x = 14

Simplifying
x = 14

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