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

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


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

Reorder the terms:
6(7 + x) = 3(x + 6)
(7 * 6 + x * 6) = 3(x + 6)
(42 + 6x) = 3(x + 6)

Reorder the terms:
42 + 6x = 3(6 + x)
42 + 6x = (6 * 3 + x * 3)
42 + 6x = (18 + 3x)

Solving
42 + 6x = 18 + 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.
42 + 6x + -3x = 18 + 3x + -3x

Combine like terms: 6x + -3x = 3x
42 + 3x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
42 + 3x = 18 + 0
42 + 3x = 18

Add '-42' to each side of the equation.
42 + -42 + 3x = 18 + -42

Combine like terms: 42 + -42 = 0
0 + 3x = 18 + -42
3x = 18 + -42

Combine like terms: 18 + -42 = -24
3x = -24

Divide each side by '3'.
x = -8

Simplifying
x = -8

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