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

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


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

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

Combine like terms: 6 + 4 = 10
10 + -2x = 3(x + 3) + -9

Reorder the terms:
10 + -2x = 3(3 + x) + -9
10 + -2x = (3 * 3 + x * 3) + -9
10 + -2x = (9 + 3x) + -9

Reorder the terms:
10 + -2x = 9 + -9 + 3x

Combine like terms: 9 + -9 = 0
10 + -2x = 0 + 3x
10 + -2x = 3x

Solving
10 + -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.
10 + -2x + -3x = 3x + -3x

Combine like terms: -2x + -3x = -5x
10 + -5x = 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -5x = 0

Add '-10' to each side of the equation.
10 + -10 + -5x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = 0 + -10
-5x = 0 + -10

Combine like terms: 0 + -10 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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