2(2x+4)-2=1(x+3)

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Solution for 2(2x+4)-2=1(x+3) equation:


Simplifying
2(2x + 4) + -2 = 1(x + 3)

Reorder the terms:
2(4 + 2x) + -2 = 1(x + 3)
(4 * 2 + 2x * 2) + -2 = 1(x + 3)
(8 + 4x) + -2 = 1(x + 3)

Reorder the terms:
8 + -2 + 4x = 1(x + 3)

Combine like terms: 8 + -2 = 6
6 + 4x = 1(x + 3)

Reorder the terms:
6 + 4x = 1(3 + x)
6 + 4x = (3 * 1 + x * 1)
6 + 4x = (3 + 1x)

Solving
6 + 4x = 3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6 + 4x + -1x = 3 + 1x + -1x

Combine like terms: 4x + -1x = 3x
6 + 3x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 3x = 3 + 0
6 + 3x = 3

Add '-6' to each side of the equation.
6 + -6 + 3x = 3 + -6

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

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

Divide each side by '3'.
x = -1

Simplifying
x = -1

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