7x+14=13x+6

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Solution for 7x+14=13x+6 equation:


Simplifying
7x + 14 = 13x + 6

Reorder the terms:
14 + 7x = 13x + 6

Reorder the terms:
14 + 7x = 6 + 13x

Solving
14 + 7x = 6 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
14 + 7x + -13x = 6 + 13x + -13x

Combine like terms: 7x + -13x = -6x
14 + -6x = 6 + 13x + -13x

Combine like terms: 13x + -13x = 0
14 + -6x = 6 + 0
14 + -6x = 6

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

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

Combine like terms: 6 + -14 = -8
-6x = -8

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333

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