5-3(4-3x)=2(3-x)-9

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Solution for 5-3(4-3x)=2(3-x)-9 equation:


Simplifying
5 + -3(4 + -3x) = 2(3 + -1x) + -9
5 + (4 * -3 + -3x * -3) = 2(3 + -1x) + -9
5 + (-12 + 9x) = 2(3 + -1x) + -9

Combine like terms: 5 + -12 = -7
-7 + 9x = 2(3 + -1x) + -9
-7 + 9x = (3 * 2 + -1x * 2) + -9
-7 + 9x = (6 + -2x) + -9

Reorder the terms:
-7 + 9x = 6 + -9 + -2x

Combine like terms: 6 + -9 = -3
-7 + 9x = -3 + -2x

Solving
-7 + 9x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-7 + 9x + 2x = -3 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-7 + 11x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 11x = -3 + 0
-7 + 11x = -3

Add '7' to each side of the equation.
-7 + 7 + 11x = -3 + 7

Combine like terms: -7 + 7 = 0
0 + 11x = -3 + 7
11x = -3 + 7

Combine like terms: -3 + 7 = 4
11x = 4

Divide each side by '11'.
x = 0.3636363636

Simplifying
x = 0.3636363636

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