(3x-4)+5(2x+3)=-9

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Solution for (3x-4)+5(2x+3)=-9 equation:


Simplifying
(3x + -4) + 5(2x + 3) = -9

Reorder the terms:
(-4 + 3x) + 5(2x + 3) = -9

Remove parenthesis around (-4 + 3x)
-4 + 3x + 5(2x + 3) = -9

Reorder the terms:
-4 + 3x + 5(3 + 2x) = -9
-4 + 3x + (3 * 5 + 2x * 5) = -9
-4 + 3x + (15 + 10x) = -9

Reorder the terms:
-4 + 15 + 3x + 10x = -9

Combine like terms: -4 + 15 = 11
11 + 3x + 10x = -9

Combine like terms: 3x + 10x = 13x
11 + 13x = -9

Solving
11 + 13x = -9

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 13x = -9 + -11

Combine like terms: 11 + -11 = 0
0 + 13x = -9 + -11
13x = -9 + -11

Combine like terms: -9 + -11 = -20
13x = -20

Divide each side by '13'.
x = -1.538461538

Simplifying
x = -1.538461538

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