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

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


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

Reorder the terms:
7(2 + x) = 6(x + 3)
(2 * 7 + x * 7) = 6(x + 3)
(14 + 7x) = 6(x + 3)

Reorder the terms:
14 + 7x = 6(3 + x)
14 + 7x = (3 * 6 + x * 6)
14 + 7x = (18 + 6x)

Solving
14 + 7x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
14 + 7x + -6x = 18 + 6x + -6x

Combine like terms: 7x + -6x = 1x
14 + 1x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
14 + 1x = 18 + 0
14 + 1x = 18

Add '-14' to each side of the equation.
14 + -14 + 1x = 18 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 18 + -14
1x = 18 + -14

Combine like terms: 18 + -14 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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