5x-10=-4(x+6)-4

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Solution for 5x-10=-4(x+6)-4 equation:


Simplifying
5x + -10 = -4(x + 6) + -4

Reorder the terms:
-10 + 5x = -4(x + 6) + -4

Reorder the terms:
-10 + 5x = -4(6 + x) + -4
-10 + 5x = (6 * -4 + x * -4) + -4
-10 + 5x = (-24 + -4x) + -4

Reorder the terms:
-10 + 5x = -24 + -4 + -4x

Combine like terms: -24 + -4 = -28
-10 + 5x = -28 + -4x

Solving
-10 + 5x = -28 + -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.
-10 + 5x + 4x = -28 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-10 + 9x = -28 + -4x + 4x

Combine like terms: -4x + 4x = 0
-10 + 9x = -28 + 0
-10 + 9x = -28

Add '10' to each side of the equation.
-10 + 10 + 9x = -28 + 10

Combine like terms: -10 + 10 = 0
0 + 9x = -28 + 10
9x = -28 + 10

Combine like terms: -28 + 10 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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