6(x-2)-3(x+1)=21

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Solution for 6(x-2)-3(x+1)=21 equation: 


Simplifying
6(x + -2) + -3(x + 1) = 21

Reorder the terms:
6(-2 + x) + -3(x + 1) = 21
(-2 * 6 + x * 6) + -3(x + 1) = 21
(-12 + 6x) + -3(x + 1) = 21

Reorder the terms:
-12 + 6x + -3(1 + x) = 21
-12 + 6x + (1 * -3 + x * -3) = 21
-12 + 6x + (-3 + -3x) = 21

Reorder the terms:
-12 + -3 + 6x + -3x = 21

Combine like terms: -12 + -3 = -15
-15 + 6x + -3x = 21

Combine like terms: 6x + -3x = 3x
-15 + 3x = 21

Solving
-15 + 3x = 21

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 3x = 21 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 21 + 15
3x = 21 + 15

Combine like terms: 21 + 15 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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