2x-5=12x+45

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Solution for 2x-5=12x+45 equation:


Simplifying
2x + -5 = 12x + 45

Reorder the terms:
-5 + 2x = 12x + 45

Reorder the terms:
-5 + 2x = 45 + 12x

Solving
-5 + 2x = 45 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-5 + 2x + -12x = 45 + 12x + -12x

Combine like terms: 2x + -12x = -10x
-5 + -10x = 45 + 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + -10x = 45 + 0
-5 + -10x = 45

Add '5' to each side of the equation.
-5 + 5 + -10x = 45 + 5

Combine like terms: -5 + 5 = 0
0 + -10x = 45 + 5
-10x = 45 + 5

Combine like terms: 45 + 5 = 50
-10x = 50

Divide each side by '-10'.
x = -5

Simplifying
x = -5

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