3(3x-7)-4=3(x-4)+29

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Solution for 3(3x-7)-4=3(x-4)+29 equation:


Simplifying
3(3x + -7) + -4 = 3(x + -4) + 29

Reorder the terms:
3(-7 + 3x) + -4 = 3(x + -4) + 29
(-7 * 3 + 3x * 3) + -4 = 3(x + -4) + 29
(-21 + 9x) + -4 = 3(x + -4) + 29

Reorder the terms:
-21 + -4 + 9x = 3(x + -4) + 29

Combine like terms: -21 + -4 = -25
-25 + 9x = 3(x + -4) + 29

Reorder the terms:
-25 + 9x = 3(-4 + x) + 29
-25 + 9x = (-4 * 3 + x * 3) + 29
-25 + 9x = (-12 + 3x) + 29

Reorder the terms:
-25 + 9x = -12 + 29 + 3x

Combine like terms: -12 + 29 = 17
-25 + 9x = 17 + 3x

Solving
-25 + 9x = 17 + 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.
-25 + 9x + -3x = 17 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-25 + 6x = 17 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + 6x = 17 + 0
-25 + 6x = 17

Add '25' to each side of the equation.
-25 + 25 + 6x = 17 + 25

Combine like terms: -25 + 25 = 0
0 + 6x = 17 + 25
6x = 17 + 25

Combine like terms: 17 + 25 = 42
6x = 42

Divide each side by '6'.
x = 7

Simplifying
x = 7

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