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

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


Simplifying
x + -3x + -10 = -1(5x + -2)

Reorder the terms:
-10 + x + -3x = -1(5x + -2)

Combine like terms: x + -3x = -2x
-10 + -2x = -1(5x + -2)

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

Solving
-10 + -2x = 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.
-10 + -2x + 5x = 2 + -5x + 5x

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

Combine like terms: -5x + 5x = 0
-10 + 3x = 2 + 0
-10 + 3x = 2

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

Combine like terms: -10 + 10 = 0
0 + 3x = 2 + 10
3x = 2 + 10

Combine like terms: 2 + 10 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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