x+6+x+3+x+9=2(x+1)+2(x+4)

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Solution for x+6+x+3+x+9=2(x+1)+2(x+4) equation:


Simplifying
x + 6 + x + 3 + x + 9 = 2(x + 1) + 2(x + 4)

Reorder the terms:
6 + 3 + 9 + x + x + x = 2(x + 1) + 2(x + 4)

Combine like terms: 6 + 3 = 9
9 + 9 + x + x + x = 2(x + 1) + 2(x + 4)

Combine like terms: 9 + 9 = 18
18 + x + x + x = 2(x + 1) + 2(x + 4)

Combine like terms: x + x = 2x
18 + 2x + x = 2(x + 1) + 2(x + 4)

Combine like terms: 2x + x = 3x
18 + 3x = 2(x + 1) + 2(x + 4)

Reorder the terms:
18 + 3x = 2(1 + x) + 2(x + 4)
18 + 3x = (1 * 2 + x * 2) + 2(x + 4)
18 + 3x = (2 + 2x) + 2(x + 4)

Reorder the terms:
18 + 3x = 2 + 2x + 2(4 + x)
18 + 3x = 2 + 2x + (4 * 2 + x * 2)
18 + 3x = 2 + 2x + (8 + 2x)

Reorder the terms:
18 + 3x = 2 + 8 + 2x + 2x

Combine like terms: 2 + 8 = 10
18 + 3x = 10 + 2x + 2x

Combine like terms: 2x + 2x = 4x
18 + 3x = 10 + 4x

Solving
18 + 3x = 10 + 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.
18 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
18 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -1x = 10 + 0
18 + -1x = 10

Add '-18' to each side of the equation.
18 + -18 + -1x = 10 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 10 + -18
-1x = 10 + -18

Combine like terms: 10 + -18 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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