45x-6=5x-14

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Solution for 45x-6=5x-14 equation:


Simplifying
45x + -6 = 5x + -14

Reorder the terms:
-6 + 45x = 5x + -14

Reorder the terms:
-6 + 45x = -14 + 5x

Solving
-6 + 45x = -14 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-6 + 45x + -5x = -14 + 5x + -5x

Combine like terms: 45x + -5x = 40x
-6 + 40x = -14 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + 40x = -14 + 0
-6 + 40x = -14

Add '6' to each side of the equation.
-6 + 6 + 40x = -14 + 6

Combine like terms: -6 + 6 = 0
0 + 40x = -14 + 6
40x = -14 + 6

Combine like terms: -14 + 6 = -8
40x = -8

Divide each side by '40'.
x = -0.2

Simplifying
x = -0.2

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