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

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


Simplifying
3 + 5(3x + 3) = -5 + -3(5x + 2)

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

Combine like terms: 3 + 15 = 18
18 + 15x = -5 + -3(5x + 2)

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

Combine like terms: -5 + -6 = -11
18 + 15x = -11 + -15x

Solving
18 + 15x = -11 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
18 + 15x + 15x = -11 + -15x + 15x

Combine like terms: 15x + 15x = 30x
18 + 30x = -11 + -15x + 15x

Combine like terms: -15x + 15x = 0
18 + 30x = -11 + 0
18 + 30x = -11

Add '-18' to each side of the equation.
18 + -18 + 30x = -11 + -18

Combine like terms: 18 + -18 = 0
0 + 30x = -11 + -18
30x = -11 + -18

Combine like terms: -11 + -18 = -29
30x = -29

Divide each side by '30'.
x = -0.9666666667

Simplifying
x = -0.9666666667

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