x+20=6x-45

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Solution for x+20=6x-45 equation:


Simplifying
x + 20 = 6x + -45

Reorder the terms:
20 + x = 6x + -45

Reorder the terms:
20 + x = -45 + 6x

Solving
20 + x = -45 + 6x

Solving for variable 'x'.

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

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

Combine like terms: x + -6x = -5x
20 + -5x = -45 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -5x = -45 + 0
20 + -5x = -45

Add '-20' to each side of the equation.
20 + -20 + -5x = -45 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -45 + -20
-5x = -45 + -20

Combine like terms: -45 + -20 = -65
-5x = -65

Divide each side by '-5'.
x = 13

Simplifying
x = 13

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