44-(3x+3)=3(x+2)+x

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Solution for 44-(3x+3)=3(x+2)+x equation:


Simplifying
44 + -1(3x + 3) = 3(x + 2) + x

Reorder the terms:
44 + -1(3 + 3x) = 3(x + 2) + x
44 + (3 * -1 + 3x * -1) = 3(x + 2) + x
44 + (-3 + -3x) = 3(x + 2) + x

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

Reorder the terms:
41 + -3x = 3(2 + x) + x
41 + -3x = (2 * 3 + x * 3) + x
41 + -3x = (6 + 3x) + x

Combine like terms: 3x + x = 4x
41 + -3x = 6 + 4x

Solving
41 + -3x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
41 + -3x + -4x = 6 + 4x + -4x

Combine like terms: -3x + -4x = -7x
41 + -7x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
41 + -7x = 6 + 0
41 + -7x = 6

Add '-41' to each side of the equation.
41 + -41 + -7x = 6 + -41

Combine like terms: 41 + -41 = 0
0 + -7x = 6 + -41
-7x = 6 + -41

Combine like terms: 6 + -41 = -35
-7x = -35

Divide each side by '-7'.
x = 5

Simplifying
x = 5

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