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

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


Simplifying
-5x + -10 = 2 + -1(x + -4)

Reorder the terms:
-10 + -5x = 2 + -1(x + -4)

Reorder the terms:
-10 + -5x = 2 + -1(-4 + x)
-10 + -5x = 2 + (-4 * -1 + x * -1)
-10 + -5x = 2 + (4 + -1x)

Combine like terms: 2 + 4 = 6
-10 + -5x = 6 + -1x

Solving
-10 + -5x = 6 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + -5x + x = 6 + -1x + x

Combine like terms: -5x + x = -4x
-10 + -4x = 6 + -1x + x

Combine like terms: -1x + x = 0
-10 + -4x = 6 + 0
-10 + -4x = 6

Add '10' to each side of the equation.
-10 + 10 + -4x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = 6 + 10
-4x = 6 + 10

Combine like terms: 6 + 10 = 16
-4x = 16

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

Simplifying
x = -4

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