2(x-6)-(9+4x)=-3x

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Solution for 2(x-6)-(9+4x)=-3x equation:


Simplifying
2(x + -6) + -1(9 + 4x) = -3x

Reorder the terms:
2(-6 + x) + -1(9 + 4x) = -3x
(-6 * 2 + x * 2) + -1(9 + 4x) = -3x
(-12 + 2x) + -1(9 + 4x) = -3x
-12 + 2x + (9 * -1 + 4x * -1) = -3x
-12 + 2x + (-9 + -4x) = -3x

Reorder the terms:
-12 + -9 + 2x + -4x = -3x

Combine like terms: -12 + -9 = -21
-21 + 2x + -4x = -3x

Combine like terms: 2x + -4x = -2x
-21 + -2x = -3x

Solving
-21 + -2x = -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.
-21 + -2x + 3x = -3x + 3x

Combine like terms: -2x + 3x = 1x
-21 + 1x = -3x + 3x

Combine like terms: -3x + 3x = 0
-21 + 1x = 0

Add '21' to each side of the equation.
-21 + 21 + 1x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = 0 + 21
1x = 0 + 21

Combine like terms: 0 + 21 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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