5(x+3)-1=3(x+6)

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Solution for 5(x+3)-1=3(x+6) equation:


Simplifying
5(x + 3) + -1 = 3(x + 6)

Reorder the terms:
5(3 + x) + -1 = 3(x + 6)
(3 * 5 + x * 5) + -1 = 3(x + 6)
(15 + 5x) + -1 = 3(x + 6)

Reorder the terms:
15 + -1 + 5x = 3(x + 6)

Combine like terms: 15 + -1 = 14
14 + 5x = 3(x + 6)

Reorder the terms:
14 + 5x = 3(6 + x)
14 + 5x = (6 * 3 + x * 3)
14 + 5x = (18 + 3x)

Solving
14 + 5x = 18 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
14 + 5x + -3x = 18 + 3x + -3x

Combine like terms: 5x + -3x = 2x
14 + 2x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + 2x = 18 + 0
14 + 2x = 18

Add '-14' to each side of the equation.
14 + -14 + 2x = 18 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = 18 + -14
2x = 18 + -14

Combine like terms: 18 + -14 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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