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

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


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

Reorder the terms:
6(3 + x) = 7(x + 1)
(3 * 6 + x * 6) = 7(x + 1)
(18 + 6x) = 7(x + 1)

Reorder the terms:
18 + 6x = 7(1 + x)
18 + 6x = (1 * 7 + x * 7)
18 + 6x = (7 + 7x)

Solving
18 + 6x = 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 + 6x + -7x = 7 + 7x + -7x

Combine like terms: 6x + -7x = -1x
18 + -1x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
18 + -1x = 7 + 0
18 + -1x = 7

Add '-18' to each side of the equation.
18 + -18 + -1x = 7 + -18

Combine like terms: 18 + -18 = 0
0 + -1x = 7 + -18
-1x = 7 + -18

Combine like terms: 7 + -18 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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