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

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


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

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

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

Combine like terms: -9 + -8 = -17
4 + x = -17 + 3x + 3x

Combine like terms: 3x + 3x = 6x
4 + x = -17 + 6x

Solving
4 + x = -17 + 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 + x + -6x = -17 + 6x + -6x

Combine like terms: x + -6x = -5x
4 + -5x = -17 + 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -5x = -17 + 0
4 + -5x = -17

Add '-4' to each side of the equation.
4 + -4 + -5x = -17 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = -17 + -4
-5x = -17 + -4

Combine like terms: -17 + -4 = -21
-5x = -21

Divide each side by '-5'.
x = 4.2

Simplifying
x = 4.2

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