6+4+6+12+2x-1=x+5+x+9+x+8

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Solution for 6+4+6+12+2x-1=x+5+x+9+x+8 equation:


Simplifying
6 + 4 + 6 + 12 + 2x + -1 = x + 5 + x + 9 + x + 8

Reorder the terms:
6 + 4 + 6 + 12 + -1 + 2x = x + 5 + x + 9 + x + 8

Combine like terms: 6 + 4 = 10
10 + 6 + 12 + -1 + 2x = x + 5 + x + 9 + x + 8

Combine like terms: 10 + 6 = 16
16 + 12 + -1 + 2x = x + 5 + x + 9 + x + 8

Combine like terms: 16 + 12 = 28
28 + -1 + 2x = x + 5 + x + 9 + x + 8

Combine like terms: 28 + -1 = 27
27 + 2x = x + 5 + x + 9 + x + 8

Reorder the terms:
27 + 2x = 5 + 9 + 8 + x + x + x

Combine like terms: 5 + 9 = 14
27 + 2x = 14 + 8 + x + x + x

Combine like terms: 14 + 8 = 22
27 + 2x = 22 + x + x + x

Combine like terms: x + x = 2x
27 + 2x = 22 + 2x + x

Combine like terms: 2x + x = 3x
27 + 2x = 22 + 3x

Solving
27 + 2x = 22 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
27 + 2x + -3x = 22 + 3x + -3x

Combine like terms: 2x + -3x = -1x
27 + -1x = 22 + 3x + -3x

Combine like terms: 3x + -3x = 0
27 + -1x = 22 + 0
27 + -1x = 22

Add '-27' to each side of the equation.
27 + -27 + -1x = 22 + -27

Combine like terms: 27 + -27 = 0
0 + -1x = 22 + -27
-1x = 22 + -27

Combine like terms: 22 + -27 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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