6(X-6)-(X-4)=4(X-1)

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Solution for 6(X-6)-(X-4)=4(X-1) equation:


Simplifying
6(X + -6) + -1(X + -4) = 4(X + -1)

Reorder the terms:
6(-6 + X) + -1(X + -4) = 4(X + -1)
(-6 * 6 + X * 6) + -1(X + -4) = 4(X + -1)
(-36 + 6X) + -1(X + -4) = 4(X + -1)

Reorder the terms:
-36 + 6X + -1(-4 + X) = 4(X + -1)
-36 + 6X + (-4 * -1 + X * -1) = 4(X + -1)
-36 + 6X + (4 + -1X) = 4(X + -1)

Reorder the terms:
-36 + 4 + 6X + -1X = 4(X + -1)

Combine like terms: -36 + 4 = -32
-32 + 6X + -1X = 4(X + -1)

Combine like terms: 6X + -1X = 5X
-32 + 5X = 4(X + -1)

Reorder the terms:
-32 + 5X = 4(-1 + X)
-32 + 5X = (-1 * 4 + X * 4)
-32 + 5X = (-4 + 4X)

Solving
-32 + 5X = -4 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
-32 + 5X + -4X = -4 + 4X + -4X

Combine like terms: 5X + -4X = 1X
-32 + 1X = -4 + 4X + -4X

Combine like terms: 4X + -4X = 0
-32 + 1X = -4 + 0
-32 + 1X = -4

Add '32' to each side of the equation.
-32 + 32 + 1X = -4 + 32

Combine like terms: -32 + 32 = 0
0 + 1X = -4 + 32
1X = -4 + 32

Combine like terms: -4 + 32 = 28
1X = 28

Divide each side by '1'.
X = 28

Simplifying
X = 28

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