3(6x+7)=6(x+7)

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Solution for 3(6x+7)=6(x+7) equation:


Simplifying
3(6x + 7) = 6(x + 7)

Reorder the terms:
3(7 + 6x) = 6(x + 7)
(7 * 3 + 6x * 3) = 6(x + 7)
(21 + 18x) = 6(x + 7)

Reorder the terms:
21 + 18x = 6(7 + x)
21 + 18x = (7 * 6 + x * 6)
21 + 18x = (42 + 6x)

Solving
21 + 18x = 42 + 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.
21 + 18x + -6x = 42 + 6x + -6x

Combine like terms: 18x + -6x = 12x
21 + 12x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
21 + 12x = 42 + 0
21 + 12x = 42

Add '-21' to each side of the equation.
21 + -21 + 12x = 42 + -21

Combine like terms: 21 + -21 = 0
0 + 12x = 42 + -21
12x = 42 + -21

Combine like terms: 42 + -21 = 21
12x = 21

Divide each side by '12'.
x = 1.75

Simplifying
x = 1.75

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