9x+4+3x+2=-3(7-3x)+8(x+9)

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Solution for 9x+4+3x+2=-3(7-3x)+8(x+9) equation:


Simplifying
9x + 4 + 3x + 2 = -3(7 + -3x) + 8(x + 9)

Reorder the terms:
4 + 2 + 9x + 3x = -3(7 + -3x) + 8(x + 9)

Combine like terms: 4 + 2 = 6
6 + 9x + 3x = -3(7 + -3x) + 8(x + 9)

Combine like terms: 9x + 3x = 12x
6 + 12x = -3(7 + -3x) + 8(x + 9)
6 + 12x = (7 * -3 + -3x * -3) + 8(x + 9)
6 + 12x = (-21 + 9x) + 8(x + 9)

Reorder the terms:
6 + 12x = -21 + 9x + 8(9 + x)
6 + 12x = -21 + 9x + (9 * 8 + x * 8)
6 + 12x = -21 + 9x + (72 + 8x)

Reorder the terms:
6 + 12x = -21 + 72 + 9x + 8x

Combine like terms: -21 + 72 = 51
6 + 12x = 51 + 9x + 8x

Combine like terms: 9x + 8x = 17x
6 + 12x = 51 + 17x

Solving
6 + 12x = 51 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
6 + 12x + -17x = 51 + 17x + -17x

Combine like terms: 12x + -17x = -5x
6 + -5x = 51 + 17x + -17x

Combine like terms: 17x + -17x = 0
6 + -5x = 51 + 0
6 + -5x = 51

Add '-6' to each side of the equation.
6 + -6 + -5x = 51 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 51 + -6
-5x = 51 + -6

Combine like terms: 51 + -6 = 45
-5x = 45

Divide each side by '-5'.
x = -9

Simplifying
x = -9

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