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 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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