(3x+2).2+(2x+1)=33

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Solution for (3x+2).2+(2x+1)=33 equation: 


Simplifying
(3x + 2) * 0.2 + (2x + 1) = 33

Reorder the terms:
(2 + 3x) * 0.2 + (2x + 1) = 33

Reorder the terms for easier multiplication:
0.2(2 + 3x) + (2x + 1) = 33
(2 * 0.2 + 3x * 0.2) + (2x + 1) = 33
(0.4 + 0.6x) + (2x + 1) = 33

Reorder the terms:
0.4 + 0.6x + (1 + 2x) = 33

Remove parenthesis around (1 + 2x)
0.4 + 0.6x + 1 + 2x = 33

Reorder the terms:
0.4 + 1 + 0.6x + 2x = 33

Combine like terms: 0.4 + 1 = 1.4
1.4 + 0.6x + 2x = 33

Combine like terms: 0.6x + 2x = 2.6x
1.4 + 2.6x = 33

Solving
1.4 + 2.6x = 33

Solving for variable 'x'.

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

Add '-1.4' to each side of the equation.
1.4 + -1.4 + 2.6x = 33 + -1.4

Combine like terms: 1.4 + -1.4 = 0.0
0.0 + 2.6x = 33 + -1.4
2.6x = 33 + -1.4

Combine like terms: 33 + -1.4 = 31.6
2.6x = 31.6

Divide each side by '2.6'.
x = 12.15384615

Simplifying
x = 12.15384615

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