3x+5=43-9x

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Solution for 3x+5=43-9x equation:


Simplifying
3x + 5 = 43 + -9x

Reorder the terms:
5 + 3x = 43 + -9x

Solving
5 + 3x = 43 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
5 + 3x + 9x = 43 + -9x + 9x

Combine like terms: 3x + 9x = 12x
5 + 12x = 43 + -9x + 9x

Combine like terms: -9x + 9x = 0
5 + 12x = 43 + 0
5 + 12x = 43

Add '-5' to each side of the equation.
5 + -5 + 12x = 43 + -5

Combine like terms: 5 + -5 = 0
0 + 12x = 43 + -5
12x = 43 + -5

Combine like terms: 43 + -5 = 38
12x = 38

Divide each side by '12'.
x = 3.166666667

Simplifying
x = 3.166666667

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