-[10x-(3x+2)]=-3-[4(3x-3)-3x]

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Solution for -[10x-(3x+2)]=-3-[4(3x-3)-3x] equation:


Simplifying
-1[10x + -1(3x + 2)] = -3 + -1[4(3x + -3) + -3x]

Reorder the terms:
-1[10x + -1(2 + 3x)] = -3 + -1[4(3x + -3) + -3x]
-1[10x + (2 * -1 + 3x * -1)] = -3 + -1[4(3x + -3) + -3x]
-1[10x + (-2 + -3x)] = -3 + -1[4(3x + -3) + -3x]

Reorder the terms:
-1[-2 + 10x + -3x] = -3 + -1[4(3x + -3) + -3x]

Combine like terms: 10x + -3x = 7x
-1[-2 + 7x] = -3 + -1[4(3x + -3) + -3x]
[-2 * -1 + 7x * -1] = -3 + -1[4(3x + -3) + -3x]
[2 + -7x] = -3 + -1[4(3x + -3) + -3x]

Reorder the terms:
2 + -7x = -3 + -1[4(-3 + 3x) + -3x]
2 + -7x = -3 + -1[(-3 * 4 + 3x * 4) + -3x]
2 + -7x = -3 + -1[(-12 + 12x) + -3x]

Combine like terms: 12x + -3x = 9x
2 + -7x = -3 + -1[-12 + 9x]
2 + -7x = -3 + [-12 * -1 + 9x * -1]
2 + -7x = -3 + [12 + -9x]

Combine like terms: -3 + 12 = 9
2 + -7x = 9 + -9x

Solving
2 + -7x = 9 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
2 + -7x + 9x = 9 + -9x + 9x

Combine like terms: -7x + 9x = 2x
2 + 2x = 9 + -9x + 9x

Combine like terms: -9x + 9x = 0
2 + 2x = 9 + 0
2 + 2x = 9

Add '-2' to each side of the equation.
2 + -2 + 2x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 9 + -2
2x = 9 + -2

Combine like terms: 9 + -2 = 7
2x = 7

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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