6x+18=14x+78

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Solution for 6x+18=14x+78 equation:


Simplifying
6x + 18 = 14x + 78

Reorder the terms:
18 + 6x = 14x + 78

Reorder the terms:
18 + 6x = 78 + 14x

Solving
18 + 6x = 78 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
18 + 6x + -14x = 78 + 14x + -14x

Combine like terms: 6x + -14x = -8x
18 + -8x = 78 + 14x + -14x

Combine like terms: 14x + -14x = 0
18 + -8x = 78 + 0
18 + -8x = 78

Add '-18' to each side of the equation.
18 + -18 + -8x = 78 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = 78 + -18
-8x = 78 + -18

Combine like terms: 78 + -18 = 60
-8x = 60

Divide each side by '-8'.
x = -7.5

Simplifying
x = -7.5

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