21-(3x+4)=2(x+6)+x

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Solution for 21-(3x+4)=2(x+6)+x equation:


Simplifying
21 + -1(3x + 4) = 2(x + 6) + x

Reorder the terms:
21 + -1(4 + 3x) = 2(x + 6) + x
21 + (4 * -1 + 3x * -1) = 2(x + 6) + x
21 + (-4 + -3x) = 2(x + 6) + x

Combine like terms: 21 + -4 = 17
17 + -3x = 2(x + 6) + x

Reorder the terms:
17 + -3x = 2(6 + x) + x
17 + -3x = (6 * 2 + x * 2) + x
17 + -3x = (12 + 2x) + x

Combine like terms: 2x + x = 3x
17 + -3x = 12 + 3x

Solving
17 + -3x = 12 + 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.
17 + -3x + -3x = 12 + 3x + -3x

Combine like terms: -3x + -3x = -6x
17 + -6x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -6x = 12 + 0
17 + -6x = 12

Add '-17' to each side of the equation.
17 + -17 + -6x = 12 + -17

Combine like terms: 17 + -17 = 0
0 + -6x = 12 + -17
-6x = 12 + -17

Combine like terms: 12 + -17 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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