6(3x-8)-5=6(x-2)+31

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Solution for 6(3x-8)-5=6(x-2)+31 equation:


Simplifying
6(3x + -8) + -5 = 6(x + -2) + 31

Reorder the terms:
6(-8 + 3x) + -5 = 6(x + -2) + 31
(-8 * 6 + 3x * 6) + -5 = 6(x + -2) + 31
(-48 + 18x) + -5 = 6(x + -2) + 31

Reorder the terms:
-48 + -5 + 18x = 6(x + -2) + 31

Combine like terms: -48 + -5 = -53
-53 + 18x = 6(x + -2) + 31

Reorder the terms:
-53 + 18x = 6(-2 + x) + 31
-53 + 18x = (-2 * 6 + x * 6) + 31
-53 + 18x = (-12 + 6x) + 31

Reorder the terms:
-53 + 18x = -12 + 31 + 6x

Combine like terms: -12 + 31 = 19
-53 + 18x = 19 + 6x

Solving
-53 + 18x = 19 + 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.
-53 + 18x + -6x = 19 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-53 + 12x = 19 + 6x + -6x

Combine like terms: 6x + -6x = 0
-53 + 12x = 19 + 0
-53 + 12x = 19

Add '53' to each side of the equation.
-53 + 53 + 12x = 19 + 53

Combine like terms: -53 + 53 = 0
0 + 12x = 19 + 53
12x = 19 + 53

Combine like terms: 19 + 53 = 72
12x = 72

Divide each side by '12'.
x = 6

Simplifying
x = 6

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