3(x-7)+5=12-(3x-9)

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Solution for 3(x-7)+5=12-(3x-9) equation:


Simplifying
3(x + -7) + 5 = 12 + -1(3x + -9)

Reorder the terms:
3(-7 + x) + 5 = 12 + -1(3x + -9)
(-7 * 3 + x * 3) + 5 = 12 + -1(3x + -9)
(-21 + 3x) + 5 = 12 + -1(3x + -9)

Reorder the terms:
-21 + 5 + 3x = 12 + -1(3x + -9)

Combine like terms: -21 + 5 = -16
-16 + 3x = 12 + -1(3x + -9)

Reorder the terms:
-16 + 3x = 12 + -1(-9 + 3x)
-16 + 3x = 12 + (-9 * -1 + 3x * -1)
-16 + 3x = 12 + (9 + -3x)

Combine like terms: 12 + 9 = 21
-16 + 3x = 21 + -3x

Solving
-16 + 3x = 21 + -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.
-16 + 3x + 3x = 21 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-16 + 6x = 21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 6x = 21 + 0
-16 + 6x = 21

Add '16' to each side of the equation.
-16 + 16 + 6x = 21 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 21 + 16
6x = 21 + 16

Combine like terms: 21 + 16 = 37
6x = 37

Divide each side by '6'.
x = 6.166666667

Simplifying
x = 6.166666667

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