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 = -15
-15 + 4x + -1x = -1

Combine like terms: 4x + -1x = 3x
-15 + 3x = -1

Solving
-15 + 3x = -1

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 3x = -1 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = -1 + 15
3x = -1 + 15

Combine like terms: -1 + 15 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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