(33x+7)+8x=44x-2

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Solution for (33x+7)+8x=44x-2 equation:


Simplifying
(33x + 7) + 8x = 44x + -2

Reorder the terms:
(7 + 33x) + 8x = 44x + -2

Remove parenthesis around (7 + 33x)
7 + 33x + 8x = 44x + -2

Combine like terms: 33x + 8x = 41x
7 + 41x = 44x + -2

Reorder the terms:
7 + 41x = -2 + 44x

Solving
7 + 41x = -2 + 44x

Solving for variable 'x'.

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

Add '-44x' to each side of the equation.
7 + 41x + -44x = -2 + 44x + -44x

Combine like terms: 41x + -44x = -3x
7 + -3x = -2 + 44x + -44x

Combine like terms: 44x + -44x = 0
7 + -3x = -2 + 0
7 + -3x = -2

Add '-7' to each side of the equation.
7 + -7 + -3x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -2 + -7
-3x = -2 + -7

Combine like terms: -2 + -7 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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