(x+2)-2(4-4x)=4(x+5)-1

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Solution for (x+2)-2(4-4x)=4(x+5)-1 equation:


Simplifying
(x + 2) + -2(4 + -4x) = 4(x + 5) + -1

Reorder the terms:
(2 + x) + -2(4 + -4x) = 4(x + 5) + -1

Remove parenthesis around (2 + x)
2 + x + -2(4 + -4x) = 4(x + 5) + -1
2 + x + (4 * -2 + -4x * -2) = 4(x + 5) + -1
2 + x + (-8 + 8x) = 4(x + 5) + -1

Reorder the terms:
2 + -8 + x + 8x = 4(x + 5) + -1

Combine like terms: 2 + -8 = -6
-6 + x + 8x = 4(x + 5) + -1

Combine like terms: x + 8x = 9x
-6 + 9x = 4(x + 5) + -1

Reorder the terms:
-6 + 9x = 4(5 + x) + -1
-6 + 9x = (5 * 4 + x * 4) + -1
-6 + 9x = (20 + 4x) + -1

Reorder the terms:
-6 + 9x = 20 + -1 + 4x

Combine like terms: 20 + -1 = 19
-6 + 9x = 19 + 4x

Solving
-6 + 9x = 19 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 9x + -4x = 19 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-6 + 5x = 19 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 5x = 19 + 0
-6 + 5x = 19

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

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

Combine like terms: 19 + 6 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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