7x-5+x=16x+6-2x-2

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Solution for 7x-5+x=16x+6-2x-2 equation:


Simplifying
7x + -5 + x = 16x + 6 + -2x + -2

Reorder the terms:
-5 + 7x + x = 16x + 6 + -2x + -2

Combine like terms: 7x + x = 8x
-5 + 8x = 16x + 6 + -2x + -2

Reorder the terms:
-5 + 8x = 6 + -2 + 16x + -2x

Combine like terms: 6 + -2 = 4
-5 + 8x = 4 + 16x + -2x

Combine like terms: 16x + -2x = 14x
-5 + 8x = 4 + 14x

Solving
-5 + 8x = 4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-5 + 8x + -14x = 4 + 14x + -14x

Combine like terms: 8x + -14x = -6x
-5 + -6x = 4 + 14x + -14x

Combine like terms: 14x + -14x = 0
-5 + -6x = 4 + 0
-5 + -6x = 4

Add '5' to each side of the equation.
-5 + 5 + -6x = 4 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 4 + 5
-6x = 4 + 5

Combine like terms: 4 + 5 = 9
-6x = 9

Divide each side by '-6'.
x = -1.5

Simplifying
x = -1.5

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