5(x+3)=(x+6)

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Solution for 5(x+3)=(x+6) equation:


Simplifying
5(x + 3) = (x + 6)

Reorder the terms:
5(3 + x) = (x + 6)
(3 * 5 + x * 5) = (x + 6)
(15 + 5x) = (x + 6)

Reorder the terms:
15 + 5x = (6 + x)

Remove parenthesis around (6 + x)
15 + 5x = 6 + x

Solving
15 + 5x = 6 + 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.
15 + 5x + -1x = 6 + x + -1x

Combine like terms: 5x + -1x = 4x
15 + 4x = 6 + x + -1x

Combine like terms: x + -1x = 0
15 + 4x = 6 + 0
15 + 4x = 6

Add '-15' to each side of the equation.
15 + -15 + 4x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 6 + -15
4x = 6 + -15

Combine like terms: 6 + -15 = -9
4x = -9

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25

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