3(3x-2)-13=4x-4

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Solution for 3(3x-2)-13=4x-4 equation:


Simplifying
3(3x + -2) + -13 = 4x + -4

Reorder the terms:
3(-2 + 3x) + -13 = 4x + -4
(-2 * 3 + 3x * 3) + -13 = 4x + -4
(-6 + 9x) + -13 = 4x + -4

Reorder the terms:
-6 + -13 + 9x = 4x + -4

Combine like terms: -6 + -13 = -19
-19 + 9x = 4x + -4

Reorder the terms:
-19 + 9x = -4 + 4x

Solving
-19 + 9x = -4 + 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.
-19 + 9x + -4x = -4 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-19 + 5x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-19 + 5x = -4 + 0
-19 + 5x = -4

Add '19' to each side of the equation.
-19 + 19 + 5x = -4 + 19

Combine like terms: -19 + 19 = 0
0 + 5x = -4 + 19
5x = -4 + 19

Combine like terms: -4 + 19 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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