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

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


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

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

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

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

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

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

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

Combine like terms: 4 + 1 = 5
18 + 3x = 5 + x + x

Combine like terms: x + x = 2x
18 + 3x = 5 + 2x

Solving
18 + 3x = 5 + 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.
18 + 3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
18 + 1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 1x = 5 + 0
18 + 1x = 5

Add '-18' to each side of the equation.
18 + -18 + 1x = 5 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 5 + -18
1x = 5 + -18

Combine like terms: 5 + -18 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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