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

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


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

Reorder the terms:
3(-9 + 2x) + -5 = 3(x + -3) + 4
(-9 * 3 + 2x * 3) + -5 = 3(x + -3) + 4
(-27 + 6x) + -5 = 3(x + -3) + 4

Reorder the terms:
-27 + -5 + 6x = 3(x + -3) + 4

Combine like terms: -27 + -5 = -32
-32 + 6x = 3(x + -3) + 4

Reorder the terms:
-32 + 6x = 3(-3 + x) + 4
-32 + 6x = (-3 * 3 + x * 3) + 4
-32 + 6x = (-9 + 3x) + 4

Reorder the terms:
-32 + 6x = -9 + 4 + 3x

Combine like terms: -9 + 4 = -5
-32 + 6x = -5 + 3x

Solving
-32 + 6x = -5 + 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.
-32 + 6x + -3x = -5 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-32 + 3x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-32 + 3x = -5 + 0
-32 + 3x = -5

Add '32' to each side of the equation.
-32 + 32 + 3x = -5 + 32

Combine like terms: -32 + 32 = 0
0 + 3x = -5 + 32
3x = -5 + 32

Combine like terms: -5 + 32 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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