13(17-x)=(6x+1)

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Solution for 13(17-x)=(6x+1) equation:


Simplifying
13(17 + -1x) = (6x + 1)
(17 * 13 + -1x * 13) = (6x + 1)
(221 + -13x) = (6x + 1)

Reorder the terms:
221 + -13x = (1 + 6x)

Remove parenthesis around (1 + 6x)
221 + -13x = 1 + 6x

Solving
221 + -13x = 1 + 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.
221 + -13x + -6x = 1 + 6x + -6x

Combine like terms: -13x + -6x = -19x
221 + -19x = 1 + 6x + -6x

Combine like terms: 6x + -6x = 0
221 + -19x = 1 + 0
221 + -19x = 1

Add '-221' to each side of the equation.
221 + -221 + -19x = 1 + -221

Combine like terms: 221 + -221 = 0
0 + -19x = 1 + -221
-19x = 1 + -221

Combine like terms: 1 + -221 = -220
-19x = -220

Divide each side by '-19'.
x = 11.57894737

Simplifying
x = 11.57894737

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