5x+(x+6)=3x-(-21)

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Solution for 5x+(x+6)=3x-(-21) equation:


Simplifying
5x + (x + 6) = 3x + -1(-21)

Reorder the terms:
5x + (6 + x) = 3x + -1(-21)

Remove parenthesis around (6 + x)
5x + 6 + x = 3x + -1(-21)

Reorder the terms:
6 + 5x + x = 3x + -1(-21)

Combine like terms: 5x + x = 6x
6 + 6x = 3x + -1(-21)

Multiply -1 * -21
6 + 6x = 3x + 21

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

Solving
6 + 6x = 21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + 6x + -3x = 21 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
6 + 3x = 21 + 0
6 + 3x = 21

Add '-6' to each side of the equation.
6 + -6 + 3x = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = 21 + -6
3x = 21 + -6

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

Divide each side by '3'.
x = 5

Simplifying
x = 5

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