2x-6=7x-16

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Solution for 2x-6=7x-16 equation:


Simplifying
2x + -6 = 7x + -16

Reorder the terms:
-6 + 2x = 7x + -16

Reorder the terms:
-6 + 2x = -16 + 7x

Solving
-6 + 2x = -16 + 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 = -16 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-6 + -5x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -5x = -16 + 0
-6 + -5x = -16

Add '6' to each side of the equation.
-6 + 6 + -5x = -16 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = -16 + 6
-5x = -16 + 6

Combine like terms: -16 + 6 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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