20=4(x-1)-(x-6)

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Solution for 20=4(x-1)-(x-6) equation: 


Simplifying
20 = 4(x + -1) + -1(x + -6)

Reorder the terms:
20 = 4(-1 + x) + -1(x + -6)
20 = (-1 * 4 + x * 4) + -1(x + -6)
20 = (-4 + 4x) + -1(x + -6)

Reorder the terms:
20 = -4 + 4x + -1(-6 + x)
20 = -4 + 4x + (-6 * -1 + x * -1)
20 = -4 + 4x + (6 + -1x)

Reorder the terms:
20 = -4 + 6 + 4x + -1x

Combine like terms: -4 + 6 = 2
20 = 2 + 4x + -1x

Combine like terms: 4x + -1x = 3x
20 = 2 + 3x

Solving
20 = 2 + 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.
20 + -3x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + -3x = 2 + 0
20 + -3x = 2

Add '-20' to each side of the equation.
20 + -20 + -3x = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -3x = 2 + -20
-3x = 2 + -20

Combine like terms: 2 + -20 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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