(x+4)-2(4-4x)=6(x+4)-1

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Solution for (x+4)-2(4-4x)=6(x+4)-1 equation:


Simplifying
(x + 4) + -2(4 + -4x) = 6(x + 4) + -1

Reorder the terms:
(4 + x) + -2(4 + -4x) = 6(x + 4) + -1

Remove parenthesis around (4 + x)
4 + x + -2(4 + -4x) = 6(x + 4) + -1
4 + x + (4 * -2 + -4x * -2) = 6(x + 4) + -1
4 + x + (-8 + 8x) = 6(x + 4) + -1

Reorder the terms:
4 + -8 + x + 8x = 6(x + 4) + -1

Combine like terms: 4 + -8 = -4
-4 + x + 8x = 6(x + 4) + -1

Combine like terms: x + 8x = 9x
-4 + 9x = 6(x + 4) + -1

Reorder the terms:
-4 + 9x = 6(4 + x) + -1
-4 + 9x = (4 * 6 + x * 6) + -1
-4 + 9x = (24 + 6x) + -1

Reorder the terms:
-4 + 9x = 24 + -1 + 6x

Combine like terms: 24 + -1 = 23
-4 + 9x = 23 + 6x

Solving
-4 + 9x = 23 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-4 + 9x + -6x = 23 + 6x + -6x

Combine like terms: 9x + -6x = 3x
-4 + 3x = 23 + 6x + -6x

Combine like terms: 6x + -6x = 0
-4 + 3x = 23 + 0
-4 + 3x = 23

Add '4' to each side of the equation.
-4 + 4 + 3x = 23 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 23 + 4
3x = 23 + 4

Combine like terms: 23 + 4 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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