(3x+6)*3=(x+1)*7

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Solution for (3x+6)*3=(x+1)*7 equation:


Simplifying
(3x + 6) * 3 = (x + 1) * 7

Reorder the terms:
(6 + 3x) * 3 = (x + 1) * 7

Reorder the terms for easier multiplication:
3(6 + 3x) = (x + 1) * 7
(6 * 3 + 3x * 3) = (x + 1) * 7
(18 + 9x) = (x + 1) * 7

Reorder the terms:
18 + 9x = (1 + x) * 7

Reorder the terms for easier multiplication:
18 + 9x = 7(1 + x)
18 + 9x = (1 * 7 + x * 7)
18 + 9x = (7 + 7x)

Solving
18 + 9x = 7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
18 + 9x + -7x = 7 + 7x + -7x

Combine like terms: 9x + -7x = 2x
18 + 2x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + 2x = 7 + 0
18 + 2x = 7

Add '-18' to each side of the equation.
18 + -18 + 2x = 7 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = 7 + -18
2x = 7 + -18

Combine like terms: 7 + -18 = -11
2x = -11

Divide each side by '2'.
x = -5.5

Simplifying
x = -5.5

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