6(3x+10)=(3x+5)

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Solution for 6(3x+10)=(3x+5) equation:


Simplifying
6(3x + 10) = (3x + 5)

Reorder the terms:
6(10 + 3x) = (3x + 5)
(10 * 6 + 3x * 6) = (3x + 5)
(60 + 18x) = (3x + 5)

Reorder the terms:
60 + 18x = (5 + 3x)

Remove parenthesis around (5 + 3x)
60 + 18x = 5 + 3x

Solving
60 + 18x = 5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
60 + 18x + -3x = 5 + 3x + -3x

Combine like terms: 18x + -3x = 15x
60 + 15x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
60 + 15x = 5 + 0
60 + 15x = 5

Add '-60' to each side of the equation.
60 + -60 + 15x = 5 + -60

Combine like terms: 60 + -60 = 0
0 + 15x = 5 + -60
15x = 5 + -60

Combine like terms: 5 + -60 = -55
15x = -55

Divide each side by '15'.
x = -3.666666667

Simplifying
x = -3.666666667

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