84-2x=5x-7

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Solution for 84-2x=5x-7 equation:


Simplifying
84 + -2x = 5x + -7

Reorder the terms:
84 + -2x = -7 + 5x

Solving
84 + -2x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
84 + -2x + -5x = -7 + 5x + -5x

Combine like terms: -2x + -5x = -7x
84 + -7x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
84 + -7x = -7 + 0
84 + -7x = -7

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

Combine like terms: 84 + -84 = 0
0 + -7x = -7 + -84
-7x = -7 + -84

Combine like terms: -7 + -84 = -91
-7x = -91

Divide each side by '-7'.
x = 13

Simplifying
x = 13

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