3x+14=77-4x

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Solution for 3x+14=77-4x equation:


Simplifying
3x + 14 = 77 + -4x

Reorder the terms:
14 + 3x = 77 + -4x

Solving
14 + 3x = 77 + -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.
14 + 3x + 4x = 77 + -4x + 4x

Combine like terms: 3x + 4x = 7x
14 + 7x = 77 + -4x + 4x

Combine like terms: -4x + 4x = 0
14 + 7x = 77 + 0
14 + 7x = 77

Add '-14' to each side of the equation.
14 + -14 + 7x = 77 + -14

Combine like terms: 14 + -14 = 0
0 + 7x = 77 + -14
7x = 77 + -14

Combine like terms: 77 + -14 = 63
7x = 63

Divide each side by '7'.
x = 9

Simplifying
x = 9

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