4x+6=39-7x

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Solution for 4x+6=39-7x equation:


Simplifying
4x + 6 = 39 + -7x

Reorder the terms:
6 + 4x = 39 + -7x

Solving
6 + 4x = 39 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
6 + 4x + 7x = 39 + -7x + 7x

Combine like terms: 4x + 7x = 11x
6 + 11x = 39 + -7x + 7x

Combine like terms: -7x + 7x = 0
6 + 11x = 39 + 0
6 + 11x = 39

Add '-6' to each side of the equation.
6 + -6 + 11x = 39 + -6

Combine like terms: 6 + -6 = 0
0 + 11x = 39 + -6
11x = 39 + -6

Combine like terms: 39 + -6 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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