4x+2+5x+6=5+3x+9

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Solution for 4x+2+5x+6=5+3x+9 equation:


Simplifying
4x + 2 + 5x + 6 = 5 + 3x + 9

Reorder the terms:
2 + 6 + 4x + 5x = 5 + 3x + 9

Combine like terms: 2 + 6 = 8
8 + 4x + 5x = 5 + 3x + 9

Combine like terms: 4x + 5x = 9x
8 + 9x = 5 + 3x + 9

Reorder the terms:
8 + 9x = 5 + 9 + 3x

Combine like terms: 5 + 9 = 14
8 + 9x = 14 + 3x

Solving
8 + 9x = 14 + 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.
8 + 9x + -3x = 14 + 3x + -3x

Combine like terms: 9x + -3x = 6x
8 + 6x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + 6x = 14 + 0
8 + 6x = 14

Add '-8' to each side of the equation.
8 + -8 + 6x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 6x = 14 + -8
6x = 14 + -8

Combine like terms: 14 + -8 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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