3x-(10x+7)-2[2x-3(4x+3)+1]+3=8x+3

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Solution for 3x-(10x+7)-2[2x-3(4x+3)+1]+3=8x+3 equation: 


Simplifying
3x + -1(10x + 7) + -2[2x + -3(4x + 3) + 1] + 3 = 8x + 3

Reorder the terms:
3x + -1(7 + 10x) + -2[2x + -3(4x + 3) + 1] + 3 = 8x + 3
3x + (7 * -1 + 10x * -1) + -2[2x + -3(4x + 3) + 1] + 3 = 8x + 3
3x + (-7 + -10x) + -2[2x + -3(4x + 3) + 1] + 3 = 8x + 3

Reorder the terms:
3x + -7 + -10x + -2[2x + -3(3 + 4x) + 1] + 3 = 8x + 3
3x + -7 + -10x + -2[2x + (3 * -3 + 4x * -3) + 1] + 3 = 8x + 3
3x + -7 + -10x + -2[2x + (-9 + -12x) + 1] + 3 = 8x + 3

Reorder the terms:
3x + -7 + -10x + -2[-9 + 1 + 2x + -12x] + 3 = 8x + 3

Combine like terms: -9 + 1 = -8
3x + -7 + -10x + -2[-8 + 2x + -12x] + 3 = 8x + 3

Combine like terms: 2x + -12x = -10x
3x + -7 + -10x + -2[-8 + -10x] + 3 = 8x + 3
3x + -7 + -10x + [-8 * -2 + -10x * -2] + 3 = 8x + 3
3x + -7 + -10x + [16 + 20x] + 3 = 8x + 3

Reorder the terms:
-7 + 16 + 3 + 3x + -10x + 20x = 8x + 3

Combine like terms: -7 + 16 = 9
9 + 3 + 3x + -10x + 20x = 8x + 3

Combine like terms: 9 + 3 = 12
12 + 3x + -10x + 20x = 8x + 3

Combine like terms: 3x + -10x = -7x
12 + -7x + 20x = 8x + 3

Combine like terms: -7x + 20x = 13x
12 + 13x = 8x + 3

Reorder the terms:
12 + 13x = 3 + 8x

Solving
12 + 13x = 3 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 13x + -8x = 3 + 8x + -8x

Combine like terms: 13x + -8x = 5x
12 + 5x = 3 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + 5x = 3 + 0
12 + 5x = 3

Add '-12' to each side of the equation.
12 + -12 + 5x = 3 + -12

Combine like terms: 12 + -12 = 0
0 + 5x = 3 + -12
5x = 3 + -12

Combine like terms: 3 + -12 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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