7x+14=3x-12

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Solution for 7x+14=3x-12 equation:


Simplifying
7x + 14 = 3x + -12

Reorder the terms:
14 + 7x = 3x + -12

Reorder the terms:
14 + 7x = -12 + 3x

Solving
14 + 7x = -12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 7x + -3x = -12 + 3x + -3x

Combine like terms: 7x + -3x = 4x
14 + 4x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 4x = -12 + 0
14 + 4x = -12

Add '-14' to each side of the equation.
14 + -14 + 4x = -12 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = -12 + -14
4x = -12 + -14

Combine like terms: -12 + -14 = -26
4x = -26

Divide each side by '4'.
x = -6.5

Simplifying
x = -6.5

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