2(4x+2)-8=4(x+3)

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Solution for 2(4x+2)-8=4(x+3) equation:


Simplifying
2(4x + 2) + -8 = 4(x + 3)

Reorder the terms:
2(2 + 4x) + -8 = 4(x + 3)
(2 * 2 + 4x * 2) + -8 = 4(x + 3)
(4 + 8x) + -8 = 4(x + 3)

Reorder the terms:
4 + -8 + 8x = 4(x + 3)

Combine like terms: 4 + -8 = -4
-4 + 8x = 4(x + 3)

Reorder the terms:
-4 + 8x = 4(3 + x)
-4 + 8x = (3 * 4 + x * 4)
-4 + 8x = (12 + 4x)

Solving
-4 + 8x = 12 + 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.
-4 + 8x + -4x = 12 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-4 + 4x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 4x = 12 + 0
-4 + 4x = 12

Add '4' to each side of the equation.
-4 + 4 + 4x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 12 + 4
4x = 12 + 4

Combine like terms: 12 + 4 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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