3x-(x+3)-(2-x)=16

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Solution for 3x-(x+3)-(2-x)=16 equation:


Simplifying
3x + -1(x + 3) + -1(2 + -1x) = 16

Reorder the terms:
3x + -1(3 + x) + -1(2 + -1x) = 16
3x + (3 * -1 + x * -1) + -1(2 + -1x) = 16
3x + (-3 + -1x) + -1(2 + -1x) = 16
3x + -3 + -1x + (2 * -1 + -1x * -1) = 16
3x + -3 + -1x + (-2 + 1x) = 16

Reorder the terms:
-3 + -2 + 3x + -1x + 1x = 16

Combine like terms: -3 + -2 = -5
-5 + 3x + -1x + 1x = 16

Combine like terms: 3x + -1x = 2x
-5 + 2x + 1x = 16

Combine like terms: 2x + 1x = 3x
-5 + 3x = 16

Solving
-5 + 3x = 16

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 3x = 16 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 16 + 5
3x = 16 + 5

Combine like terms: 16 + 5 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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