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

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


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

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

Reorder the terms:
-4 + 3x + -1x = 9x + 3(8 + -1x)

Combine like terms: 3x + -1x = 2x
-4 + 2x = 9x + 3(8 + -1x)
-4 + 2x = 9x + (8 * 3 + -1x * 3)
-4 + 2x = 9x + (24 + -3x)

Reorder the terms:
-4 + 2x = 24 + 9x + -3x

Combine like terms: 9x + -3x = 6x
-4 + 2x = 24 + 6x

Solving
-4 + 2x = 24 + 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.
-4 + 2x + -6x = 24 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-4 + -4x = 24 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + -4x = 24 + 0
-4 + -4x = 24

Add '4' to each side of the equation.
-4 + 4 + -4x = 24 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = 24 + 4
-4x = 24 + 4

Combine like terms: 24 + 4 = 28
-4x = 28

Divide each side by '-4'.
x = -7

Simplifying
x = -7

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