4x+6+5x+8+3x+9=25x-78-8x-21-14x-12

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Solution for 4x+6+5x+8+3x+9=25x-78-8x-21-14x-12 equation:


Simplifying
4x + 6 + 5x + 8 + 3x + 9 = 25x + -78 + -8x + -21 + -14x + -12

Reorder the terms:
6 + 8 + 9 + 4x + 5x + 3x = 25x + -78 + -8x + -21 + -14x + -12

Combine like terms: 6 + 8 = 14
14 + 9 + 4x + 5x + 3x = 25x + -78 + -8x + -21 + -14x + -12

Combine like terms: 14 + 9 = 23
23 + 4x + 5x + 3x = 25x + -78 + -8x + -21 + -14x + -12

Combine like terms: 4x + 5x = 9x
23 + 9x + 3x = 25x + -78 + -8x + -21 + -14x + -12

Combine like terms: 9x + 3x = 12x
23 + 12x = 25x + -78 + -8x + -21 + -14x + -12

Reorder the terms:
23 + 12x = -78 + -21 + -12 + 25x + -8x + -14x

Combine like terms: -78 + -21 = -99
23 + 12x = -99 + -12 + 25x + -8x + -14x

Combine like terms: -99 + -12 = -111
23 + 12x = -111 + 25x + -8x + -14x

Combine like terms: 25x + -8x = 17x
23 + 12x = -111 + 17x + -14x

Combine like terms: 17x + -14x = 3x
23 + 12x = -111 + 3x

Solving
23 + 12x = -111 + 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.
23 + 12x + -3x = -111 + 3x + -3x

Combine like terms: 12x + -3x = 9x
23 + 9x = -111 + 3x + -3x

Combine like terms: 3x + -3x = 0
23 + 9x = -111 + 0
23 + 9x = -111

Add '-23' to each side of the equation.
23 + -23 + 9x = -111 + -23

Combine like terms: 23 + -23 = 0
0 + 9x = -111 + -23
9x = -111 + -23

Combine like terms: -111 + -23 = -134
9x = -134

Divide each side by '9'.
x = -14.88888889

Simplifying
x = -14.88888889

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