5(x+2)+6(x-3)=25

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Solution for 5(x+2)+6(x-3)=25 equation:


Simplifying
5(x + 2) + 6(x + -3) = 25

Reorder the terms:
5(2 + x) + 6(x + -3) = 25
(2 * 5 + x * 5) + 6(x + -3) = 25
(10 + 5x) + 6(x + -3) = 25

Reorder the terms:
10 + 5x + 6(-3 + x) = 25
10 + 5x + (-3 * 6 + x * 6) = 25
10 + 5x + (-18 + 6x) = 25

Reorder the terms:
10 + -18 + 5x + 6x = 25

Combine like terms: 10 + -18 = -8
-8 + 5x + 6x = 25

Combine like terms: 5x + 6x = 11x
-8 + 11x = 25

Solving
-8 + 11x = 25

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 11x = 25 + 8

Combine like terms: -8 + 8 = 0
0 + 11x = 25 + 8
11x = 25 + 8

Combine like terms: 25 + 8 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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