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

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


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

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

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

Reorder the terms:
-10 + 5x = -5(6 + x)
-10 + 5x = (6 * -5 + x * -5)
-10 + 5x = (-30 + -5x)

Solving
-10 + 5x = -30 + -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 + 5x + 5x = -30 + -5x + 5x

Combine like terms: 5x + 5x = 10x
-10 + 10x = -30 + -5x + 5x

Combine like terms: -5x + 5x = 0
-10 + 10x = -30 + 0
-10 + 10x = -30

Add '10' to each side of the equation.
-10 + 10 + 10x = -30 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = -30 + 10
10x = -30 + 10

Combine like terms: -30 + 10 = -20
10x = -20

Divide each side by '10'.
x = -2

Simplifying
x = -2

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