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

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


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

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

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

Combine like terms: x + 2x = 3x
8 + 3x = x + 2(3x + 2)

Reorder the terms:
8 + 3x = x + 2(2 + 3x)
8 + 3x = x + (2 * 2 + 3x * 2)
8 + 3x = x + (4 + 6x)

Reorder the terms:
8 + 3x = 4 + x + 6x

Combine like terms: x + 6x = 7x
8 + 3x = 4 + 7x

Solving
8 + 3x = 4 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
8 + 3x + -7x = 4 + 7x + -7x

Combine like terms: 3x + -7x = -4x
8 + -4x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + -4x = 4 + 0
8 + -4x = 4

Add '-8' to each side of the equation.
8 + -8 + -4x = 4 + -8

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

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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