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

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Solution for 6(x-4)+2=8-(3x+9) equation:


Simplifying
6(x + -4) + 2 = 8 + -1(3x + 9)

Reorder the terms:
6(-4 + x) + 2 = 8 + -1(3x + 9)
(-4 * 6 + x * 6) + 2 = 8 + -1(3x + 9)
(-24 + 6x) + 2 = 8 + -1(3x + 9)

Reorder the terms:
-24 + 2 + 6x = 8 + -1(3x + 9)

Combine like terms: -24 + 2 = -22
-22 + 6x = 8 + -1(3x + 9)

Reorder the terms:
-22 + 6x = 8 + -1(9 + 3x)
-22 + 6x = 8 + (9 * -1 + 3x * -1)
-22 + 6x = 8 + (-9 + -3x)

Combine like terms: 8 + -9 = -1
-22 + 6x = -1 + -3x

Solving
-22 + 6x = -1 + -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.
-22 + 6x + 3x = -1 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-22 + 9x = -1 + -3x + 3x

Combine like terms: -3x + 3x = 0
-22 + 9x = -1 + 0
-22 + 9x = -1

Add '22' to each side of the equation.
-22 + 22 + 9x = -1 + 22

Combine like terms: -22 + 22 = 0
0 + 9x = -1 + 22
9x = -1 + 22

Combine like terms: -1 + 22 = 21
9x = 21

Divide each side by '9'.
x = 2.333333333

Simplifying
x = 2.333333333

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