-0.10(22)+0.25x=0.05(x-20)

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Solution for -0.10(22)+0.25x=0.05(x-20) equation:


Simplifying
-0.10(22) + 0.25x = 0.05(x + -20)

Multiply -0.10 * 22
-2.2 + 0.25x = 0.05(x + -20)

Reorder the terms:
-2.2 + 0.25x = 0.05(-20 + x)
-2.2 + 0.25x = (-20 * 0.05 + x * 0.05)
-2.2 + 0.25x = (-1 + 0.05x)

Solving
-2.2 + 0.25x = -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.
-2.2 + 0.25x + -0.05x = -1 + 0.05x + -0.05x

Combine like terms: 0.25x + -0.05x = 0.2x
-2.2 + 0.2x = -1 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
-2.2 + 0.2x = -1 + 0.00
-2.2 + 0.2x = -1

Add '2.2' to each side of the equation.
-2.2 + 2.2 + 0.2x = -1 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + 0.2x = -1 + 2.2
0.2x = -1 + 2.2

Combine like terms: -1 + 2.2 = 1.2
0.2x = 1.2

Divide each side by '0.2'.
x = 6

Simplifying
x = 6

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