7x+14=4x-13

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Solution for 7x+14=4x-13 equation:


Simplifying
7x + 14 = 4x + -13

Reorder the terms:
14 + 7x = 4x + -13

Reorder the terms:
14 + 7x = -13 + 4x

Solving
14 + 7x = -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 + 7x + -4x = -13 + 4x + -4x

Combine like terms: 7x + -4x = 3x
14 + 3x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 3x = -13 + 0
14 + 3x = -13

Add '-14' to each side of the equation.
14 + -14 + 3x = -13 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = -13 + -14
3x = -13 + -14

Combine like terms: -13 + -14 = -27
3x = -27

Divide each side by '3'.
x = -9

Simplifying
x = -9

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