4(x-4)=x+1

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


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

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

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

Solving
-16 + 4x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-16 + 4x + -1x = 1 + x + -1x

Combine like terms: 4x + -1x = 3x
-16 + 3x = 1 + x + -1x

Combine like terms: x + -1x = 0
-16 + 3x = 1 + 0
-16 + 3x = 1

Add '16' to each side of the equation.
-16 + 16 + 3x = 1 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = 1 + 16
3x = 1 + 16

Combine like terms: 1 + 16 = 17
3x = 17

Divide each side by '3'.
x = 5.666666667

Simplifying
x = 5.666666667

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