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 brackets 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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