6(3x-9)-7=6(x-3)+41

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Solution for 6(3x-9)-7=6(x-3)+41 equation:


Simplifying
6(3x + -9) + -7 = 6(x + -3) + 41

Reorder the terms:
6(-9 + 3x) + -7 = 6(x + -3) + 41
(-9 * 6 + 3x * 6) + -7 = 6(x + -3) + 41
(-54 + 18x) + -7 = 6(x + -3) + 41

Reorder the terms:
-54 + -7 + 18x = 6(x + -3) + 41

Combine like terms: -54 + -7 = -61
-61 + 18x = 6(x + -3) + 41

Reorder the terms:
-61 + 18x = 6(-3 + x) + 41
-61 + 18x = (-3 * 6 + x * 6) + 41
-61 + 18x = (-18 + 6x) + 41

Reorder the terms:
-61 + 18x = -18 + 41 + 6x

Combine like terms: -18 + 41 = 23
-61 + 18x = 23 + 6x

Solving
-61 + 18x = 23 + 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.
-61 + 18x + -6x = 23 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-61 + 12x = 23 + 6x + -6x

Combine like terms: 6x + -6x = 0
-61 + 12x = 23 + 0
-61 + 12x = 23

Add '61' to each side of the equation.
-61 + 61 + 12x = 23 + 61

Combine like terms: -61 + 61 = 0
0 + 12x = 23 + 61
12x = 23 + 61

Combine like terms: 23 + 61 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7

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