5x+2(x-1)=6x-16

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Solution for 5x+2(x-1)=6x-16 equation:


Simplifying
5x + 2(x + -1) = 6x + -16

Reorder the terms:
5x + 2(-1 + x) = 6x + -16
5x + (-1 * 2 + x * 2) = 6x + -16
5x + (-2 + 2x) = 6x + -16

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

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

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

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

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 7x + -6x = -16 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-2 + 1x = -16 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + 1x = -16 + 0
-2 + 1x = -16

Add '2' to each side of the equation.
-2 + 2 + 1x = -16 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = -16 + 2
1x = -16 + 2

Combine like terms: -16 + 2 = -14
1x = -14

Divide each side by '1'.
x = -14

Simplifying
x = -14

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