7-3(4x-5)=3(2x-3)-9

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Solution for 7-3(4x-5)=3(2x-3)-9 equation:


Simplifying
7 + -3(4x + -5) = 3(2x + -3) + -9

Reorder the terms:
7 + -3(-5 + 4x) = 3(2x + -3) + -9
7 + (-5 * -3 + 4x * -3) = 3(2x + -3) + -9
7 + (15 + -12x) = 3(2x + -3) + -9

Combine like terms: 7 + 15 = 22
22 + -12x = 3(2x + -3) + -9

Reorder the terms:
22 + -12x = 3(-3 + 2x) + -9
22 + -12x = (-3 * 3 + 2x * 3) + -9
22 + -12x = (-9 + 6x) + -9

Reorder the terms:
22 + -12x = -9 + -9 + 6x

Combine like terms: -9 + -9 = -18
22 + -12x = -18 + 6x

Solving
22 + -12x = -18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
22 + -12x + -6x = -18 + 6x + -6x

Combine like terms: -12x + -6x = -18x
22 + -18x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
22 + -18x = -18 + 0
22 + -18x = -18

Add '-22' to each side of the equation.
22 + -22 + -18x = -18 + -22

Combine like terms: 22 + -22 = 0
0 + -18x = -18 + -22
-18x = -18 + -22

Combine like terms: -18 + -22 = -40
-18x = -40

Divide each side by '-18'.
x = 2.222222222

Simplifying
x = 2.222222222

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