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

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


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

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

Reorder the terms:
18 + 3x = 7(2 + x)
18 + 3x = (2 * 7 + x * 7)
18 + 3x = (14 + 7x)

Solving
18 + 3x = 14 + 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 + 3x + -7x = 14 + 7x + -7x

Combine like terms: 3x + -7x = -4x
18 + -4x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -4x = 14 + 0
18 + -4x = 14

Add '-18' to each side of the equation.
18 + -18 + -4x = 14 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = 14 + -18
-4x = 14 + -18

Combine like terms: 14 + -18 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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