x+6=5(3x-1)

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Solution for x+6=5(3x-1) equation:


Simplifying
x + 6 = 5(3x + -1)

Reorder the terms:
6 + x = 5(3x + -1)

Reorder the terms:
6 + x = 5(-1 + 3x)
6 + x = (-1 * 5 + 3x * 5)
6 + x = (-5 + 15x)

Solving
6 + x = -5 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + x + -15x = -5 + 15x + -15x

Combine like terms: x + -15x = -14x
6 + -14x = -5 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -14x = -5 + 0
6 + -14x = -5

Add '-6' to each side of the equation.
6 + -6 + -14x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + -14x = -5 + -6
-14x = -5 + -6

Combine like terms: -5 + -6 = -11
-14x = -11

Divide each side by '-14'.
x = 0.7857142857

Simplifying
x = 0.7857142857

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