7(x+2)=(x+5)

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Solution for 7(x+2)=(x+5) equation:


Simplifying
7(x + 2) = (x + 5)

Reorder the terms:
7(2 + x) = (x + 5)
(2 * 7 + x * 7) = (x + 5)
(14 + 7x) = (x + 5)

Reorder the terms:
14 + 7x = (5 + x)

Remove parenthesis around (5 + x)
14 + 7x = 5 + x

Solving
14 + 7x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + 7x + -1x = 5 + x + -1x

Combine like terms: 7x + -1x = 6x
14 + 6x = 5 + x + -1x

Combine like terms: x + -1x = 0
14 + 6x = 5 + 0
14 + 6x = 5

Add '-14' to each side of the equation.
14 + -14 + 6x = 5 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 5 + -14
6x = 5 + -14

Combine like terms: 5 + -14 = -9
6x = -9

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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