x+3+x+6+x+9=x+4+x+4+x+1+x+1

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


Simplifying
x + 3 + x + 6 + x + 9 = x + 4 + x + 4 + x + 1 + x + 1

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

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

Combine like terms: 9 + 9 = 18
18 + x + x + x = x + 4 + x + 4 + x + 1 + x + 1

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

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

Reorder the terms:
18 + 3x = 4 + 4 + 1 + 1 + x + x + x + x

Combine like terms: 4 + 4 = 8
18 + 3x = 8 + 1 + 1 + x + x + x + x

Combine like terms: 8 + 1 = 9
18 + 3x = 9 + 1 + x + x + x + x

Combine like terms: 9 + 1 = 10
18 + 3x = 10 + x + x + x + x

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

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

Combine like terms: 3x + x = 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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