2x+14=4x-13

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Solution for 2x+14=4x-13 equation:


Simplifying
2x + 14 = 4x + -13

Reorder the terms:
14 + 2x = 4x + -13

Reorder the terms:
14 + 2x = -13 + 4x

Solving
14 + 2x = -13 + 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 + 2x + -4x = -13 + 4x + -4x

Combine like terms: 2x + -4x = -2x
14 + -2x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -2x = -13 + 0
14 + -2x = -13

Add '-14' to each side of the equation.
14 + -14 + -2x = -13 + -14

Combine like terms: 14 + -14 = 0
0 + -2x = -13 + -14
-2x = -13 + -14

Combine like terms: -13 + -14 = -27
-2x = -27

Divide each side by '-2'.
x = 13.5

Simplifying
x = 13.5

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