3x+14=114-7x

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Solution for 3x+14=114-7x equation:


Simplifying
3x + 14 = 114 + -7x

Reorder the terms:
14 + 3x = 114 + -7x

Solving
14 + 3x = 114 + -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.
14 + 3x + 7x = 114 + -7x + 7x

Combine like terms: 3x + 7x = 10x
14 + 10x = 114 + -7x + 7x

Combine like terms: -7x + 7x = 0
14 + 10x = 114 + 0
14 + 10x = 114

Add '-14' to each side of the equation.
14 + -14 + 10x = 114 + -14

Combine like terms: 14 + -14 = 0
0 + 10x = 114 + -14
10x = 114 + -14

Combine like terms: 114 + -14 = 100
10x = 100

Divide each side by '10'.
x = 10

Simplifying
x = 10

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