12(3x-15)+6=1(3x+27)+2x

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Solution for 12(3x-15)+6=1(3x+27)+2x equation:


Simplifying
12(3x + -15) + 6 = 1(3x + 27) + 2x

Reorder the terms:
12(-15 + 3x) + 6 = 1(3x + 27) + 2x
(-15 * 12 + 3x * 12) + 6 = 1(3x + 27) + 2x
(-180 + 36x) + 6 = 1(3x + 27) + 2x

Reorder the terms:
-180 + 6 + 36x = 1(3x + 27) + 2x

Combine like terms: -180 + 6 = -174
-174 + 36x = 1(3x + 27) + 2x

Reorder the terms:
-174 + 36x = 1(27 + 3x) + 2x
-174 + 36x = (27 * 1 + 3x * 1) + 2x
-174 + 36x = (27 + 3x) + 2x

Combine like terms: 3x + 2x = 5x
-174 + 36x = 27 + 5x

Solving
-174 + 36x = 27 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-174 + 36x + -5x = 27 + 5x + -5x

Combine like terms: 36x + -5x = 31x
-174 + 31x = 27 + 5x + -5x

Combine like terms: 5x + -5x = 0
-174 + 31x = 27 + 0
-174 + 31x = 27

Add '174' to each side of the equation.
-174 + 174 + 31x = 27 + 174

Combine like terms: -174 + 174 = 0
0 + 31x = 27 + 174
31x = 27 + 174

Combine like terms: 27 + 174 = 201
31x = 201

Divide each side by '31'.
x = 6.483870968

Simplifying
x = 6.483870968

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