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

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


Simplifying
(3x + -7) + -1(x + 11) = 21

Reorder the terms:
(-7 + 3x) + -1(x + 11) = 21

Remove parenthesis around (-7 + 3x)
-7 + 3x + -1(x + 11) = 21

Reorder the terms:
-7 + 3x + -1(11 + x) = 21
-7 + 3x + (11 * -1 + x * -1) = 21
-7 + 3x + (-11 + -1x) = 21

Reorder the terms:
-7 + -11 + 3x + -1x = 21

Combine like terms: -7 + -11 = -18
-18 + 3x + -1x = 21

Combine like terms: 3x + -1x = 2x
-18 + 2x = 21

Solving
-18 + 2x = 21

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 2x = 21 + 18

Combine like terms: -18 + 18 = 0
0 + 2x = 21 + 18
2x = 21 + 18

Combine like terms: 21 + 18 = 39
2x = 39

Divide each side by '2'.
x = 19.5

Simplifying
x = 19.5

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