2(X+8)+5x-9=3(X+2)+4(2x+9)-5(3x+8)+25-12x

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Solution for 2(X+8)+5x-9=3(X+2)+4(2x+9)-5(3x+8)+25-12x equation:


Simplifying
2(X + 8) + 5x + -9 = 3(X + 2) + 4(2x + 9) + -5(3x + 8) + 25 + -12x

Reorder the terms:
2(8 + X) + 5x + -9 = 3(X + 2) + 4(2x + 9) + -5(3x + 8) + 25 + -12x
(8 * 2 + X * 2) + 5x + -9 = 3(X + 2) + 4(2x + 9) + -5(3x + 8) + 25 + -12x
(16 + 2X) + 5x + -9 = 3(X + 2) + 4(2x + 9) + -5(3x + 8) + 25 + -12x

Reorder the terms:
16 + -9 + 2X + 5x = 3(X + 2) + 4(2x + 9) + -5(3x + 8) + 25 + -12x

Combine like terms: 16 + -9 = 7
7 + 2X + 5x = 3(X + 2) + 4(2x + 9) + -5(3x + 8) + 25 + -12x

Reorder the terms:
7 + 2X + 5x = 3(2 + X) + 4(2x + 9) + -5(3x + 8) + 25 + -12x
7 + 2X + 5x = (2 * 3 + X * 3) + 4(2x + 9) + -5(3x + 8) + 25 + -12x
7 + 2X + 5x = (6 + 3X) + 4(2x + 9) + -5(3x + 8) + 25 + -12x

Reorder the terms:
7 + 2X + 5x = 6 + 3X + 4(9 + 2x) + -5(3x + 8) + 25 + -12x
7 + 2X + 5x = 6 + 3X + (9 * 4 + 2x * 4) + -5(3x + 8) + 25 + -12x
7 + 2X + 5x = 6 + 3X + (36 + 8x) + -5(3x + 8) + 25 + -12x

Reorder the terms:
7 + 2X + 5x = 6 + 3X + 36 + 8x + -5(8 + 3x) + 25 + -12x
7 + 2X + 5x = 6 + 3X + 36 + 8x + (8 * -5 + 3x * -5) + 25 + -12x
7 + 2X + 5x = 6 + 3X + 36 + 8x + (-40 + -15x) + 25 + -12x

Reorder the terms:
7 + 2X + 5x = 6 + 36 + -40 + 25 + 3X + 8x + -15x + -12x

Combine like terms: 6 + 36 = 42
7 + 2X + 5x = 42 + -40 + 25 + 3X + 8x + -15x + -12x

Combine like terms: 42 + -40 = 2
7 + 2X + 5x = 2 + 25 + 3X + 8x + -15x + -12x

Combine like terms: 2 + 25 = 27
7 + 2X + 5x = 27 + 3X + 8x + -15x + -12x

Combine like terms: 8x + -15x = -7x
7 + 2X + 5x = 27 + 3X + -7x + -12x

Combine like terms: -7x + -12x = -19x
7 + 2X + 5x = 27 + 3X + -19x

Solving
7 + 2X + 5x = 27 + 3X + -19x

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.
7 + 2X + -3X + 5x = 27 + 3X + -3X + -19x

Combine like terms: 2X + -3X = -1X
7 + -1X + 5x = 27 + 3X + -3X + -19x

Combine like terms: 3X + -3X = 0
7 + -1X + 5x = 27 + 0 + -19x
7 + -1X + 5x = 27 + -19x

Add '-7' to each side of the equation.
7 + -1X + -7 + 5x = 27 + -7 + -19x

Reorder the terms:
7 + -7 + -1X + 5x = 27 + -7 + -19x

Combine like terms: 7 + -7 = 0
0 + -1X + 5x = 27 + -7 + -19x
-1X + 5x = 27 + -7 + -19x

Combine like terms: 27 + -7 = 20
-1X + 5x = 20 + -19x

Add '-5x' to each side of the equation.
-1X + 5x + -5x = 20 + -19x + -5x

Combine like terms: 5x + -5x = 0
-1X + 0 = 20 + -19x + -5x
-1X = 20 + -19x + -5x

Combine like terms: -19x + -5x = -24x
-1X = 20 + -24x

Divide each side by '-1'.
X = -20 + 24x

Simplifying
X = -20 + 24x

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