171=3x+3(6x-13)

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Solution for 171=3x+3(6x-13) equation:


Simplifying
171 = 3x + 3(6x + -13)

Reorder the terms:
171 = 3x + 3(-13 + 6x)
171 = 3x + (-13 * 3 + 6x * 3)
171 = 3x + (-39 + 18x)

Reorder the terms:
171 = -39 + 3x + 18x

Combine like terms: 3x + 18x = 21x
171 = -39 + 21x

Solving
171 = -39 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
171 + -21x = -39 + 21x + -21x

Combine like terms: 21x + -21x = 0
171 + -21x = -39 + 0
171 + -21x = -39

Add '-171' to each side of the equation.
171 + -171 + -21x = -39 + -171

Combine like terms: 171 + -171 = 0
0 + -21x = -39 + -171
-21x = -39 + -171

Combine like terms: -39 + -171 = -210
-21x = -210

Divide each side by '-21'.
x = 10

Simplifying
x = 10

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