5(2x+3)=9(3x+8)+7

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Solution for 5(2x+3)=9(3x+8)+7 equation: 


Simplifying
5(2x + 3) = 9(3x + 8) + 7

Reorder the terms:
5(3 + 2x) = 9(3x + 8) + 7
(3 * 5 + 2x * 5) = 9(3x + 8) + 7
(15 + 10x) = 9(3x + 8) + 7

Reorder the terms:
15 + 10x = 9(8 + 3x) + 7
15 + 10x = (8 * 9 + 3x * 9) + 7
15 + 10x = (72 + 27x) + 7

Reorder the terms:
15 + 10x = 72 + 7 + 27x

Combine like terms: 72 + 7 = 79
15 + 10x = 79 + 27x

Solving
15 + 10x = 79 + 27x

Solving for variable 'x'.

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

Add '-27x' to each side of the equation.
15 + 10x + -27x = 79 + 27x + -27x

Combine like terms: 10x + -27x = -17x
15 + -17x = 79 + 27x + -27x

Combine like terms: 27x + -27x = 0
15 + -17x = 79 + 0
15 + -17x = 79

Add '-15' to each side of the equation.
15 + -15 + -17x = 79 + -15

Combine like terms: 15 + -15 = 0
0 + -17x = 79 + -15
-17x = 79 + -15

Combine like terms: 79 + -15 = 64
-17x = 64

Divide each side by '-17'.
x = -3.764705882

Simplifying
x = -3.764705882

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