2(3x+5)+3(2x+5)=1

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Solution for 2(3x+5)+3(2x+5)=1 equation:


Simplifying
2(3x + 5) + 3(2x + 5) = 1

Reorder the terms:
2(5 + 3x) + 3(2x + 5) = 1
(5 * 2 + 3x * 2) + 3(2x + 5) = 1
(10 + 6x) + 3(2x + 5) = 1

Reorder the terms:
10 + 6x + 3(5 + 2x) = 1
10 + 6x + (5 * 3 + 2x * 3) = 1
10 + 6x + (15 + 6x) = 1

Reorder the terms:
10 + 15 + 6x + 6x = 1

Combine like terms: 10 + 15 = 25
25 + 6x + 6x = 1

Combine like terms: 6x + 6x = 12x
25 + 12x = 1

Solving
25 + 12x = 1

Solving for variable 'x'.

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

Add '-25' to each side of the equation.
25 + -25 + 12x = 1 + -25

Combine like terms: 25 + -25 = 0
0 + 12x = 1 + -25
12x = 1 + -25

Combine like terms: 1 + -25 = -24
12x = -24

Divide each side by '12'.
x = -2

Simplifying
x = -2

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