3(3x-4)-5=4x+8

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Solution for 3(3x-4)-5=4x+8 equation:


Simplifying
3(3x + -4) + -5 = 4x + 8

Reorder the terms:
3(-4 + 3x) + -5 = 4x + 8
(-4 * 3 + 3x * 3) + -5 = 4x + 8
(-12 + 9x) + -5 = 4x + 8

Reorder the terms:
-12 + -5 + 9x = 4x + 8

Combine like terms: -12 + -5 = -17
-17 + 9x = 4x + 8

Reorder the terms:
-17 + 9x = 8 + 4x

Solving
-17 + 9x = 8 + 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.
-17 + 9x + -4x = 8 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-17 + 5x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-17 + 5x = 8 + 0
-17 + 5x = 8

Add '17' to each side of the equation.
-17 + 17 + 5x = 8 + 17

Combine like terms: -17 + 17 = 0
0 + 5x = 8 + 17
5x = 8 + 17

Combine like terms: 8 + 17 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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