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

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


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

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

Reorder the terms:
-9 + 6x = 4(-2 + x) + -9
-9 + 6x = (-2 * 4 + x * 4) + -9
-9 + 6x = (-8 + 4x) + -9

Reorder the terms:
-9 + 6x = -8 + -9 + 4x

Combine like terms: -8 + -9 = -17
-9 + 6x = -17 + 4x

Solving
-9 + 6x = -17 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-9 + 6x + -4x = -17 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-9 + 2x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 2x = -17 + 0
-9 + 2x = -17

Add '9' to each side of the equation.
-9 + 9 + 2x = -17 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = -17 + 9
2x = -17 + 9

Combine like terms: -17 + 9 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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