3(2x+5)+2(3x-7)=25

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Solution for 3(2x+5)+2(3x-7)=25 equation:


Simplifying
3(2x + 5) + 2(3x + -7) = 25

Reorder the terms:
3(5 + 2x) + 2(3x + -7) = 25
(5 * 3 + 2x * 3) + 2(3x + -7) = 25
(15 + 6x) + 2(3x + -7) = 25

Reorder the terms:
15 + 6x + 2(-7 + 3x) = 25
15 + 6x + (-7 * 2 + 3x * 2) = 25
15 + 6x + (-14 + 6x) = 25

Reorder the terms:
15 + -14 + 6x + 6x = 25

Combine like terms: 15 + -14 = 1
1 + 6x + 6x = 25

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

Solving
1 + 12x = 25

Solving for variable 'x'.

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

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

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

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

Divide each side by '12'.
x = 2

Simplifying
x = 2

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