5x-6=7x+14

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Solution for 5x-6=7x+14 equation:


Simplifying
5x + -6 = 7x + 14

Reorder the terms:
-6 + 5x = 7x + 14

Reorder the terms:
-6 + 5x = 14 + 7x

Solving
-6 + 5x = 14 + 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.
-6 + 5x + -7x = 14 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-6 + -2x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -2x = 14 + 0
-6 + -2x = 14

Add '6' to each side of the equation.
-6 + 6 + -2x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 14 + 6
-2x = 14 + 6

Combine like terms: 14 + 6 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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