3(x+6)+6=7(x+2)+10

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Solution for 3(x+6)+6=7(x+2)+10 equation:


Simplifying
3(x + 6) + 6 = 7(x + 2) + 10

Reorder the terms:
3(6 + x) + 6 = 7(x + 2) + 10
(6 * 3 + x * 3) + 6 = 7(x + 2) + 10
(18 + 3x) + 6 = 7(x + 2) + 10

Reorder the terms:
18 + 6 + 3x = 7(x + 2) + 10

Combine like terms: 18 + 6 = 24
24 + 3x = 7(x + 2) + 10

Reorder the terms:
24 + 3x = 7(2 + x) + 10
24 + 3x = (2 * 7 + x * 7) + 10
24 + 3x = (14 + 7x) + 10

Reorder the terms:
24 + 3x = 14 + 10 + 7x

Combine like terms: 14 + 10 = 24
24 + 3x = 24 + 7x

Add '-24' to each side of the equation.
24 + -24 + 3x = 24 + -24 + 7x

Combine like terms: 24 + -24 = 0
0 + 3x = 24 + -24 + 7x
3x = 24 + -24 + 7x

Combine like terms: 24 + -24 = 0
3x = 0 + 7x
3x = 7x

Solving
3x = 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.
3x + -7x = 7x + -7x

Combine like terms: 3x + -7x = -4x
-4x = 7x + -7x

Combine like terms: 7x + -7x = 0
-4x = 0

Divide each side by '-4'.
x = 0

Simplifying
x = 0

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