6(7-X)-4(X+6)+6X-21=18

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Solution for 6(7-X)-4(X+6)+6X-21=18 equation: 


Simplifying
6(7 + -1X) + -4(X + 6) + 6X + -21 = 18
(7 * 6 + -1X * 6) + -4(X + 6) + 6X + -21 = 18
(42 + -6X) + -4(X + 6) + 6X + -21 = 18

Reorder the terms:
42 + -6X + -4(6 + X) + 6X + -21 = 18
42 + -6X + (6 * -4 + X * -4) + 6X + -21 = 18
42 + -6X + (-24 + -4X) + 6X + -21 = 18

Reorder the terms:
42 + -24 + -21 + -6X + -4X + 6X = 18

Combine like terms: 42 + -24 = 18
18 + -21 + -6X + -4X + 6X = 18

Combine like terms: 18 + -21 = -3
-3 + -6X + -4X + 6X = 18

Combine like terms: -6X + -4X = -10X
-3 + -10X + 6X = 18

Combine like terms: -10X + 6X = -4X
-3 + -4X = 18

Solving
-3 + -4X = 18

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + 3 + -4X = 18 + 3

Combine like terms: -3 + 3 = 0
0 + -4X = 18 + 3
-4X = 18 + 3

Combine like terms: 18 + 3 = 21
-4X = 21

Divide each side by '-4'.
X = -5.25

Simplifying
X = -5.25

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