2-3(x-5)=5x-2

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


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

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

Combine like terms: 2 + 15 = 17
17 + -3x = 5x + -2

Reorder the terms:
17 + -3x = -2 + 5x

Solving
17 + -3x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
17 + -3x + -5x = -2 + 5x + -5x

Combine like terms: -3x + -5x = -8x
17 + -8x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
17 + -8x = -2 + 0
17 + -8x = -2

Add '-17' to each side of the equation.
17 + -17 + -8x = -2 + -17

Combine like terms: 17 + -17 = 0
0 + -8x = -2 + -17
-8x = -2 + -17

Combine like terms: -2 + -17 = -19
-8x = -19

Divide each side by '-8'.
x = 2.375

Simplifying
x = 2.375

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