5x-3=14x-75

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Solution for 5x-3=14x-75 equation:


Simplifying
5x + -3 = 14x + -75

Reorder the terms:
-3 + 5x = 14x + -75

Reorder the terms:
-3 + 5x = -75 + 14x

Solving
-3 + 5x = -75 + 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.
-3 + 5x + -14x = -75 + 14x + -14x

Combine like terms: 5x + -14x = -9x
-3 + -9x = -75 + 14x + -14x

Combine like terms: 14x + -14x = 0
-3 + -9x = -75 + 0
-3 + -9x = -75

Add '3' to each side of the equation.
-3 + 3 + -9x = -75 + 3

Combine like terms: -3 + 3 = 0
0 + -9x = -75 + 3
-9x = -75 + 3

Combine like terms: -75 + 3 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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