100=-(x-1)+4(x-6)

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Solution for 100=-(x-1)+4(x-6) equation:


Simplifying
100 = -1(x + -1) + 4(x + -6)

Reorder the terms:
100 = -1(-1 + x) + 4(x + -6)
100 = (-1 * -1 + x * -1) + 4(x + -6)
100 = (1 + -1x) + 4(x + -6)

Reorder the terms:
100 = 1 + -1x + 4(-6 + x)
100 = 1 + -1x + (-6 * 4 + x * 4)
100 = 1 + -1x + (-24 + 4x)

Reorder the terms:
100 = 1 + -24 + -1x + 4x

Combine like terms: 1 + -24 = -23
100 = -23 + -1x + 4x

Combine like terms: -1x + 4x = 3x
100 = -23 + 3x

Solving
100 = -23 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
100 + -3x = -23 + 3x + -3x

Combine like terms: 3x + -3x = 0
100 + -3x = -23 + 0
100 + -3x = -23

Add '-100' to each side of the equation.
100 + -100 + -3x = -23 + -100

Combine like terms: 100 + -100 = 0
0 + -3x = -23 + -100
-3x = -23 + -100

Combine like terms: -23 + -100 = -123
-3x = -123

Divide each side by '-3'.
x = 41

Simplifying
x = 41

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