2x-5(x-5)=-8+2x+18

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Solution for 2x-5(x-5)=-8+2x+18 equation:


Simplifying
2x + -5(x + -5) = -8 + 2x + 18

Reorder the terms:
2x + -5(-5 + x) = -8 + 2x + 18
2x + (-5 * -5 + x * -5) = -8 + 2x + 18
2x + (25 + -5x) = -8 + 2x + 18

Reorder the terms:
25 + 2x + -5x = -8 + 2x + 18

Combine like terms: 2x + -5x = -3x
25 + -3x = -8 + 2x + 18

Reorder the terms:
25 + -3x = -8 + 18 + 2x

Combine like terms: -8 + 18 = 10
25 + -3x = 10 + 2x

Solving
25 + -3x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
25 + -3x + -2x = 10 + 2x + -2x

Combine like terms: -3x + -2x = -5x
25 + -5x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
25 + -5x = 10 + 0
25 + -5x = 10

Add '-25' to each side of the equation.
25 + -25 + -5x = 10 + -25

Combine like terms: 25 + -25 = 0
0 + -5x = 10 + -25
-5x = 10 + -25

Combine like terms: 10 + -25 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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