6-2(x+6)=9-5(x+3)

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Solution for 6-2(x+6)=9-5(x+3) equation:


Simplifying
6 + -2(x + 6) = 9 + -5(x + 3)

Reorder the terms:
6 + -2(6 + x) = 9 + -5(x + 3)
6 + (6 * -2 + x * -2) = 9 + -5(x + 3)
6 + (-12 + -2x) = 9 + -5(x + 3)

Combine like terms: 6 + -12 = -6
-6 + -2x = 9 + -5(x + 3)

Reorder the terms:
-6 + -2x = 9 + -5(3 + x)
-6 + -2x = 9 + (3 * -5 + x * -5)
-6 + -2x = 9 + (-15 + -5x)

Combine like terms: 9 + -15 = -6
-6 + -2x = -6 + -5x

Add '6' to each side of the equation.
-6 + 6 + -2x = -6 + 6 + -5x

Combine like terms: -6 + 6 = 0
0 + -2x = -6 + 6 + -5x
-2x = -6 + 6 + -5x

Combine like terms: -6 + 6 = 0
-2x = 0 + -5x
-2x = -5x

Solving
-2x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-2x + 5x = -5x + 5x

Combine like terms: -2x + 5x = 3x
3x = -5x + 5x

Combine like terms: -5x + 5x = 0
3x = 0

Divide each side by '3'.
x = 0

Simplifying
x = 0

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