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

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


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

Reorder the terms:
5x + -2(2 + x) = 6x + 2
5x + (2 * -2 + x * -2) = 6x + 2
5x + (-4 + -2x) = 6x + 2

Reorder the terms:
-4 + 5x + -2x = 6x + 2

Combine like terms: 5x + -2x = 3x
-4 + 3x = 6x + 2

Reorder the terms:
-4 + 3x = 2 + 6x

Solving
-4 + 3x = 2 + 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.
-4 + 3x + -6x = 2 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-4 + -3x = 2 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -3x = 2 + 0
-4 + -3x = 2

Add '4' to each side of the equation.
-4 + 4 + -3x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 2 + 4
-3x = 2 + 4

Combine like terms: 2 + 4 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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