2-5(x-3)=4x-10

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Solution for 2-5(x-3)=4x-10 equation:


Simplifying
2 + -5(x + -3) = 4x + -10

Reorder the terms:
2 + -5(-3 + x) = 4x + -10
2 + (-3 * -5 + x * -5) = 4x + -10
2 + (15 + -5x) = 4x + -10

Combine like terms: 2 + 15 = 17
17 + -5x = 4x + -10

Reorder the terms:
17 + -5x = -10 + 4x

Solving
17 + -5x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
17 + -5x + -4x = -10 + 4x + -4x

Combine like terms: -5x + -4x = -9x
17 + -9x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
17 + -9x = -10 + 0
17 + -9x = -10

Add '-17' to each side of the equation.
17 + -17 + -9x = -10 + -17

Combine like terms: 17 + -17 = 0
0 + -9x = -10 + -17
-9x = -10 + -17

Combine like terms: -10 + -17 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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