4(x-8)=x+1

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Solution for 4(x-8)=x+1 equation: 


Simplifying
4(x + -8) = x + 1

Reorder the terms:
4(-8 + x) = x + 1
(-8 * 4 + x * 4) = x + 1
(-32 + 4x) = x + 1

Reorder the terms:
-32 + 4x = 1 + x

Solving
-32 + 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.
-32 + 4x + -1x = 1 + x + -1x

Combine like terms: 4x + -1x = 3x
-32 + 3x = 1 + x + -1x

Combine like terms: x + -1x = 0
-32 + 3x = 1 + 0
-32 + 3x = 1

Add '32' to each side of the equation.
-32 + 32 + 3x = 1 + 32

Combine like terms: -32 + 32 = 0
0 + 3x = 1 + 32
3x = 1 + 32

Combine like terms: 1 + 32 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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