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

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


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

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

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

Solving
-6 + 5x = 8 + 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.
-6 + 5x + -4x = 8 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-6 + 1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 1x = 8 + 0
-6 + 1x = 8

Add '6' to each side of the equation.
-6 + 6 + 1x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 8 + 6
1x = 8 + 6

Combine like terms: 8 + 6 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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