9x-(6x+9)=7x-21

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Solution for 9x-(6x+9)=7x-21 equation:


Simplifying
9x + -1(6x + 9) = 7x + -21

Reorder the terms:
9x + -1(9 + 6x) = 7x + -21
9x + (9 * -1 + 6x * -1) = 7x + -21
9x + (-9 + -6x) = 7x + -21

Reorder the terms:
-9 + 9x + -6x = 7x + -21

Combine like terms: 9x + -6x = 3x
-9 + 3x = 7x + -21

Reorder the terms:
-9 + 3x = -21 + 7x

Solving
-9 + 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.
-9 + 3x + -7x = -21 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-9 + -4x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-9 + -4x = -21 + 0
-9 + -4x = -21

Add '9' to each side of the equation.
-9 + 9 + -4x = -21 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = -21 + 9
-4x = -21 + 9

Combine like terms: -21 + 9 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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