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

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


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

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

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

Reorder the terms:
1 + x + -4(-4 + x) = 5
1 + x + (-4 * -4 + x * -4) = 5
1 + x + (16 + -4x) = 5

Reorder the terms:
1 + 16 + x + -4x = 5

Combine like terms: 1 + 16 = 17
17 + x + -4x = 5

Combine like terms: x + -4x = -3x
17 + -3x = 5

Solving
17 + -3x = 5

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -3x = 5 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 5 + -17
-3x = 5 + -17

Combine like terms: 5 + -17 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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