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

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


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

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

Remove parenthesis around (3 + x)
3 + x + -2(2 + -4x) = 3(x + 4) + -1
3 + x + (2 * -2 + -4x * -2) = 3(x + 4) + -1
3 + x + (-4 + 8x) = 3(x + 4) + -1

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

Combine like terms: 3 + -4 = -1
-1 + x + 8x = 3(x + 4) + -1

Combine like terms: x + 8x = 9x
-1 + 9x = 3(x + 4) + -1

Reorder the terms:
-1 + 9x = 3(4 + x) + -1
-1 + 9x = (4 * 3 + x * 3) + -1
-1 + 9x = (12 + 3x) + -1

Reorder the terms:
-1 + 9x = 12 + -1 + 3x

Combine like terms: 12 + -1 = 11
-1 + 9x = 11 + 3x

Solving
-1 + 9x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 9x + -3x = 11 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-1 + 6x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + 6x = 11 + 0
-1 + 6x = 11

Add '1' to each side of the equation.
-1 + 1 + 6x = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = 11 + 1
6x = 11 + 1

Combine like terms: 11 + 1 = 12
6x = 12

Divide each side by '6'.
x = 2

Simplifying
x = 2

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