6x-2=14x-47

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Solution for 6x-2=14x-47 equation:


Simplifying
6x + -2 = 14x + -47

Reorder the terms:
-2 + 6x = 14x + -47

Reorder the terms:
-2 + 6x = -47 + 14x

Solving
-2 + 6x = -47 + 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.
-2 + 6x + -14x = -47 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-2 + -8x = -47 + 14x + -14x

Combine like terms: 14x + -14x = 0
-2 + -8x = -47 + 0
-2 + -8x = -47

Add '2' to each side of the equation.
-2 + 2 + -8x = -47 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = -47 + 2
-8x = -47 + 2

Combine like terms: -47 + 2 = -45
-8x = -45

Divide each side by '-8'.
x = 5.625

Simplifying
x = 5.625

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