5x+14=x-10

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Solution for 5x+14=x-10 equation:


Simplifying
5x + 14 = x + -10

Reorder the terms:
14 + 5x = x + -10

Reorder the terms:
14 + 5x = -10 + x

Solving
14 + 5x = -10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + 5x + -1x = -10 + x + -1x

Combine like terms: 5x + -1x = 4x
14 + 4x = -10 + x + -1x

Combine like terms: x + -1x = 0
14 + 4x = -10 + 0
14 + 4x = -10

Add '-14' to each side of the equation.
14 + -14 + 4x = -10 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = -10 + -14
4x = -10 + -14

Combine like terms: -10 + -14 = -24
4x = -24

Divide each side by '4'.
x = -6

Simplifying
x = -6

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