6(3x-8)-7=6(x-4)+41

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Solution for 6(3x-8)-7=6(x-4)+41 equation:


Simplifying
6(3x + -8) + -7 = 6(x + -4) + 41

Reorder the terms:
6(-8 + 3x) + -7 = 6(x + -4) + 41
(-8 * 6 + 3x * 6) + -7 = 6(x + -4) + 41
(-48 + 18x) + -7 = 6(x + -4) + 41

Reorder the terms:
-48 + -7 + 18x = 6(x + -4) + 41

Combine like terms: -48 + -7 = -55
-55 + 18x = 6(x + -4) + 41

Reorder the terms:
-55 + 18x = 6(-4 + x) + 41
-55 + 18x = (-4 * 6 + x * 6) + 41
-55 + 18x = (-24 + 6x) + 41

Reorder the terms:
-55 + 18x = -24 + 41 + 6x

Combine like terms: -24 + 41 = 17
-55 + 18x = 17 + 6x

Solving
-55 + 18x = 17 + 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.
-55 + 18x + -6x = 17 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-55 + 12x = 17 + 6x + -6x

Combine like terms: 6x + -6x = 0
-55 + 12x = 17 + 0
-55 + 12x = 17

Add '55' to each side of the equation.
-55 + 55 + 12x = 17 + 55

Combine like terms: -55 + 55 = 0
0 + 12x = 17 + 55
12x = 17 + 55

Combine like terms: 17 + 55 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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