5x+78=-2x+1

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Solution for 5x+78=-2x+1 equation:


Simplifying
5x + 78 = -2x + 1

Reorder the terms:
78 + 5x = -2x + 1

Reorder the terms:
78 + 5x = 1 + -2x

Solving
78 + 5x = 1 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
78 + 5x + 2x = 1 + -2x + 2x

Combine like terms: 5x + 2x = 7x
78 + 7x = 1 + -2x + 2x

Combine like terms: -2x + 2x = 0
78 + 7x = 1 + 0
78 + 7x = 1

Add '-78' to each side of the equation.
78 + -78 + 7x = 1 + -78

Combine like terms: 78 + -78 = 0
0 + 7x = 1 + -78
7x = 1 + -78

Combine like terms: 1 + -78 = -77
7x = -77

Divide each side by '7'.
x = -11

Simplifying
x = -11

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