3(2x-9)-4=3(x-3)-1

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Solution for 3(2x-9)-4=3(x-3)-1 equation: 


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

Reorder the terms:
3(-9 + 2x) + -4 = 3(x + -3) + -1
(-9 * 3 + 2x * 3) + -4 = 3(x + -3) + -1
(-27 + 6x) + -4 = 3(x + -3) + -1

Reorder the terms:
-27 + -4 + 6x = 3(x + -3) + -1

Combine like terms: -27 + -4 = -31
-31 + 6x = 3(x + -3) + -1

Reorder the terms:
-31 + 6x = 3(-3 + x) + -1
-31 + 6x = (-3 * 3 + x * 3) + -1
-31 + 6x = (-9 + 3x) + -1

Reorder the terms:
-31 + 6x = -9 + -1 + 3x

Combine like terms: -9 + -1 = -10
-31 + 6x = -10 + 3x

Solving
-31 + 6x = -10 + 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.
-31 + 6x + -3x = -10 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-31 + 3x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-31 + 3x = -10 + 0
-31 + 3x = -10

Add '31' to each side of the equation.
-31 + 31 + 3x = -10 + 31

Combine like terms: -31 + 31 = 0
0 + 3x = -10 + 31
3x = -10 + 31

Combine like terms: -10 + 31 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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