2x+4(x+6)=2(x+28)

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Solution for 2x+4(x+6)=2(x+28) equation:


Simplifying
2x + 4(x + 6) = 2(x + 28)

Reorder the terms:
2x + 4(6 + x) = 2(x + 28)
2x + (6 * 4 + x * 4) = 2(x + 28)
2x + (24 + 4x) = 2(x + 28)

Reorder the terms:
24 + 2x + 4x = 2(x + 28)

Combine like terms: 2x + 4x = 6x
24 + 6x = 2(x + 28)

Reorder the terms:
24 + 6x = 2(28 + x)
24 + 6x = (28 * 2 + x * 2)
24 + 6x = (56 + 2x)

Solving
24 + 6x = 56 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + 6x + -2x = 56 + 2x + -2x

Combine like terms: 6x + -2x = 4x
24 + 4x = 56 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + 4x = 56 + 0
24 + 4x = 56

Add '-24' to each side of the equation.
24 + -24 + 4x = 56 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = 56 + -24
4x = 56 + -24

Combine like terms: 56 + -24 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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