2(x+3)+5x=15-(2x+18)

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Solution for 2(x+3)+5x=15-(2x+18) equation:


Simplifying
2(x + 3) + 5x = 15 + -1(2x + 18)

Reorder the terms:
2(3 + x) + 5x = 15 + -1(2x + 18)
(3 * 2 + x * 2) + 5x = 15 + -1(2x + 18)
(6 + 2x) + 5x = 15 + -1(2x + 18)

Combine like terms: 2x + 5x = 7x
6 + 7x = 15 + -1(2x + 18)

Reorder the terms:
6 + 7x = 15 + -1(18 + 2x)
6 + 7x = 15 + (18 * -1 + 2x * -1)
6 + 7x = 15 + (-18 + -2x)

Combine like terms: 15 + -18 = -3
6 + 7x = -3 + -2x

Solving
6 + 7x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
6 + 7x + 2x = -3 + -2x + 2x

Combine like terms: 7x + 2x = 9x
6 + 9x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 9x = -3 + 0
6 + 9x = -3

Add '-6' to each side of the equation.
6 + -6 + 9x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = -3 + -6
9x = -3 + -6

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

Divide each side by '9'.
x = -1

Simplifying
x = -1

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