20=4(X-1)-(X-9)

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Solution for 20=4(X-1)-(X-9) equation: 


Simplifying
20 = 4(X + -1) + -1(X + -9)

Reorder the terms:
20 = 4(-1 + X) + -1(X + -9)
20 = (-1 * 4 + X * 4) + -1(X + -9)
20 = (-4 + 4X) + -1(X + -9)

Reorder the terms:
20 = -4 + 4X + -1(-9 + X)
20 = -4 + 4X + (-9 * -1 + X * -1)
20 = -4 + 4X + (9 + -1X)

Reorder the terms:
20 = -4 + 9 + 4X + -1X

Combine like terms: -4 + 9 = 5
20 = 5 + 4X + -1X

Combine like terms: 4X + -1X = 3X
20 = 5 + 3X

Solving
20 = 5 + 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 = 5 + 3X + -3X

Combine like terms: 3X + -3X = 0
20 + -3X = 5 + 0
20 + -3X = 5

Add '-20' to each side of the equation.
20 + -20 + -3X = 5 + -20

Combine like terms: 20 + -20 = 0
0 + -3X = 5 + -20
-3X = 5 + -20

Combine like terms: 5 + -20 = -15
-3X = -15

Divide each side by '-3'.
X = 5

Simplifying
X = 5

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