7x+84=3x-2

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Solution for 7x+84=3x-2 equation:


Simplifying
7x + 84 = 3x + -2

Reorder the terms:
84 + 7x = 3x + -2

Reorder the terms:
84 + 7x = -2 + 3x

Solving
84 + 7x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
84 + 7x + -3x = -2 + 3x + -3x

Combine like terms: 7x + -3x = 4x
84 + 4x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
84 + 4x = -2 + 0
84 + 4x = -2

Add '-84' to each side of the equation.
84 + -84 + 4x = -2 + -84

Combine like terms: 84 + -84 = 0
0 + 4x = -2 + -84
4x = -2 + -84

Combine like terms: -2 + -84 = -86
4x = -86

Divide each side by '4'.
x = -21.5

Simplifying
x = -21.5

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