9+3(-4x+7)=7(-3x+1)+9

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Solution for 9+3(-4x+7)=7(-3x+1)+9 equation: 


Simplifying
9 + 3(-4x + 7) = 7(-3x + 1) + 9

Reorder the terms:
9 + 3(7 + -4x) = 7(-3x + 1) + 9
9 + (7 * 3 + -4x * 3) = 7(-3x + 1) + 9
9 + (21 + -12x) = 7(-3x + 1) + 9

Combine like terms: 9 + 21 = 30
30 + -12x = 7(-3x + 1) + 9

Reorder the terms:
30 + -12x = 7(1 + -3x) + 9
30 + -12x = (1 * 7 + -3x * 7) + 9
30 + -12x = (7 + -21x) + 9

Reorder the terms:
30 + -12x = 7 + 9 + -21x

Combine like terms: 7 + 9 = 16
30 + -12x = 16 + -21x

Solving
30 + -12x = 16 + -21x

Solving for variable 'x'.

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

Add '21x' to each side of the equation.
30 + -12x + 21x = 16 + -21x + 21x

Combine like terms: -12x + 21x = 9x
30 + 9x = 16 + -21x + 21x

Combine like terms: -21x + 21x = 0
30 + 9x = 16 + 0
30 + 9x = 16

Add '-30' to each side of the equation.
30 + -30 + 9x = 16 + -30

Combine like terms: 30 + -30 = 0
0 + 9x = 16 + -30
9x = 16 + -30

Combine like terms: 16 + -30 = -14
9x = -14

Divide each side by '9'.
x = -1.555555556

Simplifying
x = -1.555555556

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