10(10+2x+5)=9(9+3x+3)

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Solution for 10(10+2x+5)=9(9+3x+3) equation:


Simplifying
10(10 + 2x + 5) = 9(9 + 3x + 3)

Reorder the terms:
10(10 + 5 + 2x) = 9(9 + 3x + 3)

Combine like terms: 10 + 5 = 15
10(15 + 2x) = 9(9 + 3x + 3)
(15 * 10 + 2x * 10) = 9(9 + 3x + 3)
(150 + 20x) = 9(9 + 3x + 3)

Reorder the terms:
150 + 20x = 9(9 + 3 + 3x)

Combine like terms: 9 + 3 = 12
150 + 20x = 9(12 + 3x)
150 + 20x = (12 * 9 + 3x * 9)
150 + 20x = (108 + 27x)

Solving
150 + 20x = 108 + 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.
150 + 20x + -27x = 108 + 27x + -27x

Combine like terms: 20x + -27x = -7x
150 + -7x = 108 + 27x + -27x

Combine like terms: 27x + -27x = 0
150 + -7x = 108 + 0
150 + -7x = 108

Add '-150' to each side of the equation.
150 + -150 + -7x = 108 + -150

Combine like terms: 150 + -150 = 0
0 + -7x = 108 + -150
-7x = 108 + -150

Combine like terms: 108 + -150 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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