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

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


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

Reorder the terms:
3(5 + 2x) = 2(4x + 5) + 9
(5 * 3 + 2x * 3) = 2(4x + 5) + 9
(15 + 6x) = 2(4x + 5) + 9

Reorder the terms:
15 + 6x = 2(5 + 4x) + 9
15 + 6x = (5 * 2 + 4x * 2) + 9
15 + 6x = (10 + 8x) + 9

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

Combine like terms: 10 + 9 = 19
15 + 6x = 19 + 8x

Solving
15 + 6x = 19 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
15 + 6x + -8x = 19 + 8x + -8x

Combine like terms: 6x + -8x = -2x
15 + -2x = 19 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + -2x = 19 + 0
15 + -2x = 19

Add '-15' to each side of the equation.
15 + -15 + -2x = 19 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 19 + -15
-2x = 19 + -15

Combine like terms: 19 + -15 = 4
-2x = 4

Divide each side by '-2'.
x = -2

Simplifying
x = -2

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