9-(3x+12)=21-7x

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Solution for 9-(3x+12)=21-7x equation:


Simplifying
9 + -1(3x + 12) = 21 + -7x

Reorder the terms:
9 + -1(12 + 3x) = 21 + -7x
9 + (12 * -1 + 3x * -1) = 21 + -7x
9 + (-12 + -3x) = 21 + -7x

Combine like terms: 9 + -12 = -3
-3 + -3x = 21 + -7x

Solving
-3 + -3x = 21 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-3 + -3x + 7x = 21 + -7x + 7x

Combine like terms: -3x + 7x = 4x
-3 + 4x = 21 + -7x + 7x

Combine like terms: -7x + 7x = 0
-3 + 4x = 21 + 0
-3 + 4x = 21

Add '3' to each side of the equation.
-3 + 3 + 4x = 21 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 21 + 3
4x = 21 + 3

Combine like terms: 21 + 3 = 24
4x = 24

Divide each side by '4'.
x = 6

Simplifying
x = 6

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