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

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


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

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

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

Combine like terms: -20 + 1 = -19
1 = -19 + 5x + -4x

Combine like terms: 5x + -4x = 1x
1 = -19 + 1x

Solving
1 = -19 + 1x

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.
1 + -1x = -19 + 1x + -1x

Combine like terms: 1x + -1x = 0
1 + -1x = -19 + 0
1 + -1x = -19

Add '-1' to each side of the equation.
1 + -1 + -1x = -19 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = -19 + -1
-1x = -19 + -1

Combine like terms: -19 + -1 = -20
-1x = -20

Divide each side by '-1'.
x = 20

Simplifying
x = 20

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