45x-78=19x+x-81

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Solution for 45x-78=19x+x-81 equation:


Simplifying
45x + -78 = 19x + x + -81

Reorder the terms:
-78 + 45x = 19x + x + -81

Reorder the terms:
-78 + 45x = -81 + 19x + x

Combine like terms: 19x + x = 20x
-78 + 45x = -81 + 20x

Solving
-78 + 45x = -81 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-78 + 45x + -20x = -81 + 20x + -20x

Combine like terms: 45x + -20x = 25x
-78 + 25x = -81 + 20x + -20x

Combine like terms: 20x + -20x = 0
-78 + 25x = -81 + 0
-78 + 25x = -81

Add '78' to each side of the equation.
-78 + 78 + 25x = -81 + 78

Combine like terms: -78 + 78 = 0
0 + 25x = -81 + 78
25x = -81 + 78

Combine like terms: -81 + 78 = -3
25x = -3

Divide each side by '25'.
x = -0.12

Simplifying
x = -0.12

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