3(3x-4)-4=3(x-4)+26

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Solution for 3(3x-4)-4=3(x-4)+26 equation:


Simplifying
3(3x + -4) + -4 = 3(x + -4) + 26

Reorder the terms:
3(-4 + 3x) + -4 = 3(x + -4) + 26
(-4 * 3 + 3x * 3) + -4 = 3(x + -4) + 26
(-12 + 9x) + -4 = 3(x + -4) + 26

Reorder the terms:
-12 + -4 + 9x = 3(x + -4) + 26

Combine like terms: -12 + -4 = -16
-16 + 9x = 3(x + -4) + 26

Reorder the terms:
-16 + 9x = 3(-4 + x) + 26
-16 + 9x = (-4 * 3 + x * 3) + 26
-16 + 9x = (-12 + 3x) + 26

Reorder the terms:
-16 + 9x = -12 + 26 + 3x

Combine like terms: -12 + 26 = 14
-16 + 9x = 14 + 3x

Solving
-16 + 9x = 14 + 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.
-16 + 9x + -3x = 14 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-16 + 6x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + 6x = 14 + 0
-16 + 6x = 14

Add '16' to each side of the equation.
-16 + 16 + 6x = 14 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 14 + 16
6x = 14 + 16

Combine like terms: 14 + 16 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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