2(x-5)+12x=25-x-5

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Solution for 2(x-5)+12x=25-x-5 equation:


Simplifying
2(x + -5) + 12x = 25 + -1x + -5

Reorder the terms:
2(-5 + x) + 12x = 25 + -1x + -5
(-5 * 2 + x * 2) + 12x = 25 + -1x + -5
(-10 + 2x) + 12x = 25 + -1x + -5

Combine like terms: 2x + 12x = 14x
-10 + 14x = 25 + -1x + -5

Reorder the terms:
-10 + 14x = 25 + -5 + -1x

Combine like terms: 25 + -5 = 20
-10 + 14x = 20 + -1x

Solving
-10 + 14x = 20 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + 14x + x = 20 + -1x + x

Combine like terms: 14x + x = 15x
-10 + 15x = 20 + -1x + x

Combine like terms: -1x + x = 0
-10 + 15x = 20 + 0
-10 + 15x = 20

Add '10' to each side of the equation.
-10 + 10 + 15x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 15x = 20 + 10
15x = 20 + 10

Combine like terms: 20 + 10 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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