6(3x-9)-4=6(x-3)+44

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Solution for 6(3x-9)-4=6(x-3)+44 equation:


Simplifying
6(3x + -9) + -4 = 6(x + -3) + 44

Reorder the terms:
6(-9 + 3x) + -4 = 6(x + -3) + 44
(-9 * 6 + 3x * 6) + -4 = 6(x + -3) + 44
(-54 + 18x) + -4 = 6(x + -3) + 44

Reorder the terms:
-54 + -4 + 18x = 6(x + -3) + 44

Combine like terms: -54 + -4 = -58
-58 + 18x = 6(x + -3) + 44

Reorder the terms:
-58 + 18x = 6(-3 + x) + 44
-58 + 18x = (-3 * 6 + x * 6) + 44
-58 + 18x = (-18 + 6x) + 44

Reorder the terms:
-58 + 18x = -18 + 44 + 6x

Combine like terms: -18 + 44 = 26
-58 + 18x = 26 + 6x

Solving
-58 + 18x = 26 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.
-58 + 18x + -6x = 26 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-58 + 12x = 26 + 6x + -6x

Combine like terms: 6x + -6x = 0
-58 + 12x = 26 + 0
-58 + 12x = 26

Add '58' to each side of the equation.
-58 + 58 + 12x = 26 + 58

Combine like terms: -58 + 58 = 0
0 + 12x = 26 + 58
12x = 26 + 58

Combine like terms: 26 + 58 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7

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