2(9x+1)=3(5x-8)+25

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Solution for 2(9x+1)=3(5x-8)+25 equation: 


Simplifying
2(9x + 1) = 3(5x + -8) + 25

Reorder the terms:
2(1 + 9x) = 3(5x + -8) + 25
(1 * 2 + 9x * 2) = 3(5x + -8) + 25
(2 + 18x) = 3(5x + -8) + 25

Reorder the terms:
2 + 18x = 3(-8 + 5x) + 25
2 + 18x = (-8 * 3 + 5x * 3) + 25
2 + 18x = (-24 + 15x) + 25

Reorder the terms:
2 + 18x = -24 + 25 + 15x

Combine like terms: -24 + 25 = 1
2 + 18x = 1 + 15x

Solving
2 + 18x = 1 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
2 + 18x + -15x = 1 + 15x + -15x

Combine like terms: 18x + -15x = 3x
2 + 3x = 1 + 15x + -15x

Combine like terms: 15x + -15x = 0
2 + 3x = 1 + 0
2 + 3x = 1

Add '-2' to each side of the equation.
2 + -2 + 3x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 1 + -2
3x = 1 + -2

Combine like terms: 1 + -2 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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