3(x-6)+2-4(x+2)=-21

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Solution for 3(x-6)+2-4(x+2)=-21 equation: 


Simplifying
3(x + -6) + 2 + -4(x + 2) = -21

Reorder the terms:
3(-6 + x) + 2 + -4(x + 2) = -21
(-6 * 3 + x * 3) + 2 + -4(x + 2) = -21
(-18 + 3x) + 2 + -4(x + 2) = -21

Reorder the terms:
-18 + 3x + 2 + -4(2 + x) = -21
-18 + 3x + 2 + (2 * -4 + x * -4) = -21
-18 + 3x + 2 + (-8 + -4x) = -21

Reorder the terms:
-18 + 2 + -8 + 3x + -4x = -21

Combine like terms: -18 + 2 = -16
-16 + -8 + 3x + -4x = -21

Combine like terms: -16 + -8 = -24
-24 + 3x + -4x = -21

Combine like terms: 3x + -4x = -1x
-24 + -1x = -21

Solving
-24 + -1x = -21

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + -1x = -21 + 24

Combine like terms: -24 + 24 = 0
0 + -1x = -21 + 24
-1x = -21 + 24

Combine like terms: -21 + 24 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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