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

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


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

Reorder the terms:
2(-4 + 3x) + 5(2x + 3) = -9
(-4 * 2 + 3x * 2) + 5(2x + 3) = -9
(-8 + 6x) + 5(2x + 3) = -9

Reorder the terms:
-8 + 6x + 5(3 + 2x) = -9
-8 + 6x + (3 * 5 + 2x * 5) = -9
-8 + 6x + (15 + 10x) = -9

Reorder the terms:
-8 + 15 + 6x + 10x = -9

Combine like terms: -8 + 15 = 7
7 + 6x + 10x = -9

Combine like terms: 6x + 10x = 16x
7 + 16x = -9

Solving
7 + 16x = -9

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 16x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + 16x = -9 + -7
16x = -9 + -7

Combine like terms: -9 + -7 = -16
16x = -16

Divide each side by '16'.
x = -1

Simplifying
x = -1

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