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

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


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

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

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

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

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

Combine like terms: 4x + -1x = 3x
17 + 3x = -1

Solving
17 + 3x = -1

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 = -1 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = -1 + -17
3x = -1 + -17

Combine like terms: -1 + -17 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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