=12-9(x-5)-(3x+4)

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Solution for =12-9(x-5)-(3x+4) equation:


Simplifying
0 = 12 + -9(x + -5) + -1(3x + 4)

Reorder the terms:
0 = 12 + -9(-5 + x) + -1(3x + 4)
0 = 12 + (-5 * -9 + x * -9) + -1(3x + 4)
0 = 12 + (45 + -9x) + -1(3x + 4)

Reorder the terms:
0 = 12 + 45 + -9x + -1(4 + 3x)
0 = 12 + 45 + -9x + (4 * -1 + 3x * -1)
0 = 12 + 45 + -9x + (-4 + -3x)

Reorder the terms:
0 = 12 + 45 + -4 + -9x + -3x

Combine like terms: 12 + 45 = 57
0 = 57 + -4 + -9x + -3x

Combine like terms: 57 + -4 = 53
0 = 53 + -9x + -3x

Combine like terms: -9x + -3x = -12x
0 = 53 + -12x

Solving
0 = 53 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
0 + 12x = 53 + -12x + 12x
Remove the zero:
12x = 53 + -12x + 12x

Combine like terms: -12x + 12x = 0
12x = 53 + 0
12x = 53

Divide each side by '12'.
x = 4.416666667

Simplifying
x = 4.416666667

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