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

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


Simplifying
2(9 + -1x) + -1(x + 2) = 4 + 6(x + -4)
(9 * 2 + -1x * 2) + -1(x + 2) = 4 + 6(x + -4)
(18 + -2x) + -1(x + 2) = 4 + 6(x + -4)

Reorder the terms:
18 + -2x + -1(2 + x) = 4 + 6(x + -4)
18 + -2x + (2 * -1 + x * -1) = 4 + 6(x + -4)
18 + -2x + (-2 + -1x) = 4 + 6(x + -4)

Reorder the terms:
18 + -2 + -2x + -1x = 4 + 6(x + -4)

Combine like terms: 18 + -2 = 16
16 + -2x + -1x = 4 + 6(x + -4)

Combine like terms: -2x + -1x = -3x
16 + -3x = 4 + 6(x + -4)

Reorder the terms:
16 + -3x = 4 + 6(-4 + x)
16 + -3x = 4 + (-4 * 6 + x * 6)
16 + -3x = 4 + (-24 + 6x)

Combine like terms: 4 + -24 = -20
16 + -3x = -20 + 6x

Solving
16 + -3x = -20 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + -3x + -6x = -20 + 6x + -6x

Combine like terms: -3x + -6x = -9x
16 + -9x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + -9x = -20 + 0
16 + -9x = -20

Add '-16' to each side of the equation.
16 + -16 + -9x = -20 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = -20 + -16
-9x = -20 + -16

Combine like terms: -20 + -16 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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