2x+6=7x-74

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Solution for 2x+6=7x-74 equation:


Simplifying
2x + 6 = 7x + -74

Reorder the terms:
6 + 2x = 7x + -74

Reorder the terms:
6 + 2x = -74 + 7x

Solving
6 + 2x = -74 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 2x + -7x = -74 + 7x + -7x

Combine like terms: 2x + -7x = -5x
6 + -5x = -74 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -5x = -74 + 0
6 + -5x = -74

Add '-6' to each side of the equation.
6 + -6 + -5x = -74 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -74 + -6
-5x = -74 + -6

Combine like terms: -74 + -6 = -80
-5x = -80

Divide each side by '-5'.
x = 16

Simplifying
x = 16

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