6-[-2x+(3x+3x)]=15-[-(2x+4)-(3x+4)]

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Solution for 6-[-2x+(3x+3x)]=15-[-(2x+4)-(3x+4)] equation:


Simplifying
6 + -1[-2x + (3x + 3x)] = 15 + -1[-1(2x + 4) + -1(3x + 4)]

Combine like terms: 3x + 3x = 6x
6 + -1[-2x + (6x)] = 15 + -1[-1(2x + 4) + -1(3x + 4)]
6 + -1[-2x + (6x)] = 15 + -1[-1(2x + 4) + -1(3x + 4)]

Combine like terms: -2x + (6x) = 4x
6 + -1[4x] = 15 + -1[-1(2x + 4) + -1(3x + 4)]

Remove brackets around [4x]
6 + -1 * 4x = 15 + -1[-1(2x + 4) + -1(3x + 4)]

Multiply -1 * 4
6 + -4x = 15 + -1[-1(2x + 4) + -1(3x + 4)]

Reorder the terms:
6 + -4x = 15 + -1[-1(4 + 2x) + -1(3x + 4)]
6 + -4x = 15 + -1[(4 * -1 + 2x * -1) + -1(3x + 4)]
6 + -4x = 15 + -1[(-4 + -2x) + -1(3x + 4)]

Reorder the terms:
6 + -4x = 15 + -1[-4 + -2x + -1(4 + 3x)]
6 + -4x = 15 + -1[-4 + -2x + (4 * -1 + 3x * -1)]
6 + -4x = 15 + -1[-4 + -2x + (-4 + -3x)]

Reorder the terms:
6 + -4x = 15 + -1[-4 + -4 + -2x + -3x]

Combine like terms: -4 + -4 = -8
6 + -4x = 15 + -1[-8 + -2x + -3x]

Combine like terms: -2x + -3x = -5x
6 + -4x = 15 + -1[-8 + -5x]
6 + -4x = 15 + [-8 * -1 + -5x * -1]
6 + -4x = 15 + [8 + 5x]

Combine like terms: 15 + 8 = 23
6 + -4x = 23 + 5x

Solving
6 + -4x = 23 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -4x + -5x = 23 + 5x + -5x

Combine like terms: -4x + -5x = -9x
6 + -9x = 23 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -9x = 23 + 0
6 + -9x = 23

Add '-6' to each side of the equation.
6 + -6 + -9x = 23 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = 23 + -6
-9x = 23 + -6

Combine like terms: 23 + -6 = 17
-9x = 17

Divide each side by '-9'.
x = -1.888888889

Simplifying
x = -1.888888889

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