3(x-7)-2(x+11)=21

Solution for 3(x-7)-2(x+11)=21 equation:

Simplifying
3(x + -7) + -2(x + 11) = 21

Reorder the terms:
3(-7 + x) + -2(x + 11) = 21
(-7 * 3 + x * 3) + -2(x + 11) = 21
(-21 + 3x) + -2(x + 11) = 21

Reorder the terms:
-21 + 3x + -2(11 + x) = 21
-21 + 3x + (11 * -2 + x * -2) = 21
-21 + 3x + (-22 + -2x) = 21

Reorder the terms:
-21 + -22 + 3x + -2x = 21

Combine like terms: -21 + -22 = -43
-43 + 3x + -2x = 21

Combine like terms: 3x + -2x = 1x
-43 + 1x = 21

Solving
-43 + 1x = 21

Solving for variable 'x'.

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

Add '43' to each side of the equation.
-43 + 43 + 1x = 21 + 43

Combine like terms: -43 + 43 = 0
0 + 1x = 21 + 43
1x = 21 + 43

Combine like terms: 21 + 43 = 64
1x = 64

Divide each side by '1'.
x = 64

Simplifying
x = 64