3x-(x+2(4x+1)+3)=19

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Solution for 3x-(x+2(4x+1)+3)=19 equation:


Simplifying
3x + -1(x + 2(4x + 1) + 3) = 19

Reorder the terms:
3x + -1(x + 2(1 + 4x) + 3) = 19
3x + -1(x + (1 * 2 + 4x * 2) + 3) = 19
3x + -1(x + (2 + 8x) + 3) = 19

Reorder the terms:
3x + -1(2 + 3 + x + 8x) = 19

Combine like terms: 2 + 3 = 5
3x + -1(5 + x + 8x) = 19

Combine like terms: x + 8x = 9x
3x + -1(5 + 9x) = 19
3x + (5 * -1 + 9x * -1) = 19
3x + (-5 + -9x) = 19

Reorder the terms:
-5 + 3x + -9x = 19

Combine like terms: 3x + -9x = -6x
-5 + -6x = 19

Solving
-5 + -6x = 19

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + -6x = 19 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = 19 + 5
-6x = 19 + 5

Combine like terms: 19 + 5 = 24
-6x = 24

Divide each side by '-6'.
x = -4

Simplifying
x = -4

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