4(x-5)=5x+1

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


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

Reorder the terms:
4(-5 + x) = 5x + 1
(-5 * 4 + x * 4) = 5x + 1
(-20 + 4x) = 5x + 1

Reorder the terms:
-20 + 4x = 1 + 5x

Solving
-20 + 4x = 1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-20 + 4x + -5x = 1 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-20 + -1x = 1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-20 + -1x = 1 + 0
-20 + -1x = 1

Add '20' to each side of the equation.
-20 + 20 + -1x = 1 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 1 + 20
-1x = 1 + 20

Combine like terms: 1 + 20 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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