5x-2=2(2x+4)-6

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Solution for 5x-2=2(2x+4)-6 equation:


Simplifying
5x + -2 = 2(2x + 4) + -6

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

Reorder the terms:
-2 + 5x = 2(4 + 2x) + -6
-2 + 5x = (4 * 2 + 2x * 2) + -6
-2 + 5x = (8 + 4x) + -6

Reorder the terms:
-2 + 5x = 8 + -6 + 4x

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

Solving
-2 + 5x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 5x + -4x = 2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-2 + 1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 1x = 2 + 0
-2 + 1x = 2

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

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

Combine like terms: 2 + 2 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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