3x+14=4x+16

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Solution for 3x+14=4x+16 equation:


Simplifying
3x + 14 = 4x + 16

Reorder the terms:
14 + 3x = 4x + 16

Reorder the terms:
14 + 3x = 16 + 4x

Solving
14 + 3x = 16 + 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 = 16 + 4x + -4x

Combine like terms: 3x + -4x = -1x
14 + -1x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -1x = 16 + 0
14 + -1x = 16

Add '-14' to each side of the equation.
14 + -14 + -1x = 16 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 16 + -14
-1x = 16 + -14

Combine like terms: 16 + -14 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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