4=3(x-3)-2

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


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

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

Reorder the terms:
4 = -9 + -2 + 3x

Combine like terms: -9 + -2 = -11
4 = -11 + 3x

Solving
4 = -11 + 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.
4 + -3x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -3x = -11 + 0
4 + -3x = -11

Add '-4' to each side of the equation.
4 + -4 + -3x = -11 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = -11 + -4
-3x = -11 + -4

Combine like terms: -11 + -4 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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