13x-2.2=2(9x+10)

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Solution for 13x-2.2=2(9x+10) equation:


Simplifying
13x + -2.2 = 2(9x + 10)

Reorder the terms:
-2.2 + 13x = 2(9x + 10)

Reorder the terms:
-2.2 + 13x = 2(10 + 9x)
-2.2 + 13x = (10 * 2 + 9x * 2)
-2.2 + 13x = (20 + 18x)

Solving
-2.2 + 13x = 20 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-2.2 + 13x + -18x = 20 + 18x + -18x

Combine like terms: 13x + -18x = -5x
-2.2 + -5x = 20 + 18x + -18x

Combine like terms: 18x + -18x = 0
-2.2 + -5x = 20 + 0
-2.2 + -5x = 20

Add '2.2' to each side of the equation.
-2.2 + 2.2 + -5x = 20 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + -5x = 20 + 2.2
-5x = 20 + 2.2

Combine like terms: 20 + 2.2 = 22.2
-5x = 22.2

Divide each side by '-5'.
x = -4.44

Simplifying
x = -4.44

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