2x-8-(5x-25)=1x+2

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Solution for 2x-8-(5x-25)=1x+2 equation:


Simplifying
2x + -8 + -1(5x + -25) = 1x + 2

Reorder the terms:
2x + -8 + -1(-25 + 5x) = 1x + 2
2x + -8 + (-25 * -1 + 5x * -1) = 1x + 2
2x + -8 + (25 + -5x) = 1x + 2

Reorder the terms:
-8 + 25 + 2x + -5x = 1x + 2

Combine like terms: -8 + 25 = 17
17 + 2x + -5x = 1x + 2

Combine like terms: 2x + -5x = -3x
17 + -3x = 1x + 2

Reorder the terms:
17 + -3x = 2 + 1x

Solving
17 + -3x = 2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
17 + -3x + -1x = 2 + 1x + -1x

Combine like terms: -3x + -1x = -4x
17 + -4x = 2 + 1x + -1x

Combine like terms: 1x + -1x = 0
17 + -4x = 2 + 0
17 + -4x = 2

Add '-17' to each side of the equation.
17 + -17 + -4x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = 2 + -17
-4x = 2 + -17

Combine like terms: 2 + -17 = -15
-4x = -15

Divide each side by '-4'.
x = 3.75

Simplifying
x = 3.75

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