3(5x+3)=3x-(6x-18)

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Solution for 3(5x+3)=3x-(6x-18) equation:


Simplifying
3(5x + 3) = 3x + -1(6x + -18)

Reorder the terms:
3(3 + 5x) = 3x + -1(6x + -18)
(3 * 3 + 5x * 3) = 3x + -1(6x + -18)
(9 + 15x) = 3x + -1(6x + -18)

Reorder the terms:
9 + 15x = 3x + -1(-18 + 6x)
9 + 15x = 3x + (-18 * -1 + 6x * -1)
9 + 15x = 3x + (18 + -6x)

Reorder the terms:
9 + 15x = 18 + 3x + -6x

Combine like terms: 3x + -6x = -3x
9 + 15x = 18 + -3x

Solving
9 + 15x = 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.
9 + 15x + 3x = 18 + -3x + 3x

Combine like terms: 15x + 3x = 18x
9 + 18x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
9 + 18x = 18 + 0
9 + 18x = 18

Add '-9' to each side of the equation.
9 + -9 + 18x = 18 + -9

Combine like terms: 9 + -9 = 0
0 + 18x = 18 + -9
18x = 18 + -9

Combine like terms: 18 + -9 = 9
18x = 9

Divide each side by '18'.
x = 0.5

Simplifying
x = 0.5

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