6x-5=14x-53

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Solution for 6x-5=14x-53 equation:


Simplifying
6x + -5 = 14x + -53

Reorder the terms:
-5 + 6x = 14x + -53

Reorder the terms:
-5 + 6x = -53 + 14x

Solving
-5 + 6x = -53 + 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.
-5 + 6x + -14x = -53 + 14x + -14x

Combine like terms: 6x + -14x = -8x
-5 + -8x = -53 + 14x + -14x

Combine like terms: 14x + -14x = 0
-5 + -8x = -53 + 0
-5 + -8x = -53

Add '5' to each side of the equation.
-5 + 5 + -8x = -53 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = -53 + 5
-8x = -53 + 5

Combine like terms: -53 + 5 = -48
-8x = -48

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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