8.2(x-2.2)=1.3(x+3.3)

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Solution for 8.2(x-2.2)=1.3(x+3.3) equation: 


Simplifying
8.2(x + -2.2) = 1.3(x + 3.3)

Reorder the terms:
8.2(-2.2 + x) = 1.3(x + 3.3)
(-2.2 * 8.2 + x * 8.2) = 1.3(x + 3.3)
(-18.04 + 8.2x) = 1.3(x + 3.3)

Reorder the terms:
-18.04 + 8.2x = 1.3(3.3 + x)
-18.04 + 8.2x = (3.3 * 1.3 + x * 1.3)
-18.04 + 8.2x = (4.29 + 1.3x)

Solving
-18.04 + 8.2x = 4.29 + 1.3x

Solving for variable 'x'.

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

Add '-1.3x' to each side of the equation.
-18.04 + 8.2x + -1.3x = 4.29 + 1.3x + -1.3x

Combine like terms: 8.2x + -1.3x = 6.9x
-18.04 + 6.9x = 4.29 + 1.3x + -1.3x

Combine like terms: 1.3x + -1.3x = 0.0
-18.04 + 6.9x = 4.29 + 0.0
-18.04 + 6.9x = 4.29

Add '18.04' to each side of the equation.
-18.04 + 18.04 + 6.9x = 4.29 + 18.04

Combine like terms: -18.04 + 18.04 = 0.00
0.00 + 6.9x = 4.29 + 18.04
6.9x = 4.29 + 18.04

Combine like terms: 4.29 + 18.04 = 22.33
6.9x = 22.33

Divide each side by '6.9'.
x = 3.236231884

Simplifying
x = 3.236231884

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