3(2.5x-1.1)=2(5.2-3.3x)

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Solution for 3(2.5x-1.1)=2(5.2-3.3x) equation:


Simplifying
3(2.5x + -1.1) = 2(5.2 + -3.3x)

Reorder the terms:
3(-1.1 + 2.5x) = 2(5.2 + -3.3x)
(-1.1 * 3 + 2.5x * 3) = 2(5.2 + -3.3x)
(-3.3 + 7.5x) = 2(5.2 + -3.3x)
-3.3 + 7.5x = (5.2 * 2 + -3.3x * 2)
-3.3 + 7.5x = (10.4 + -6.6x)

Solving
-3.3 + 7.5x = 10.4 + -6.6x

Solving for variable 'x'.

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

Add '6.6x' to each side of the equation.
-3.3 + 7.5x + 6.6x = 10.4 + -6.6x + 6.6x

Combine like terms: 7.5x + 6.6x = 14.1x
-3.3 + 14.1x = 10.4 + -6.6x + 6.6x

Combine like terms: -6.6x + 6.6x = 0.0
-3.3 + 14.1x = 10.4 + 0.0
-3.3 + 14.1x = 10.4

Add '3.3' to each side of the equation.
-3.3 + 3.3 + 14.1x = 10.4 + 3.3

Combine like terms: -3.3 + 3.3 = 0.0
0.0 + 14.1x = 10.4 + 3.3
14.1x = 10.4 + 3.3

Combine like terms: 10.4 + 3.3 = 13.7
14.1x = 13.7

Divide each side by '14.1'.
x = 0.9716312057

Simplifying
x = 0.9716312057

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