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

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


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

Reorder the terms:
3(5 + 2x) + -2(5x + -1) = 25
(5 * 3 + 2x * 3) + -2(5x + -1) = 25
(15 + 6x) + -2(5x + -1) = 25

Reorder the terms:
15 + 6x + -2(-1 + 5x) = 25
15 + 6x + (-1 * -2 + 5x * -2) = 25
15 + 6x + (2 + -10x) = 25

Reorder the terms:
15 + 2 + 6x + -10x = 25

Combine like terms: 15 + 2 = 17
17 + 6x + -10x = 25

Combine like terms: 6x + -10x = -4x
17 + -4x = 25

Solving
17 + -4x = 25

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -4x = 25 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = 25 + -17
-4x = 25 + -17

Combine like terms: 25 + -17 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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