3x+5=-6x+41

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Solution for 3x+5=-6x+41 equation:


Simplifying
3x + 5 = -6x + 41

Reorder the terms:
5 + 3x = -6x + 41

Reorder the terms:
5 + 3x = 41 + -6x

Solving
5 + 3x = 41 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
5 + 3x + 6x = 41 + -6x + 6x

Combine like terms: 3x + 6x = 9x
5 + 9x = 41 + -6x + 6x

Combine like terms: -6x + 6x = 0
5 + 9x = 41 + 0
5 + 9x = 41

Add '-5' to each side of the equation.
5 + -5 + 9x = 41 + -5

Combine like terms: 5 + -5 = 0
0 + 9x = 41 + -5
9x = 41 + -5

Combine like terms: 41 + -5 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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