4x-3=-5(x+6)

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Solution for 4x-3=-5(x+6) equation:


Simplifying
4x + -3 = -5(x + 6)

Reorder the terms:
-3 + 4x = -5(x + 6)

Reorder the terms:
-3 + 4x = -5(6 + x)
-3 + 4x = (6 * -5 + x * -5)
-3 + 4x = (-30 + -5x)

Solving
-3 + 4x = -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.
-3 + 4x + 5x = -30 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-3 + 9x = -30 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 9x = -30 + 0
-3 + 9x = -30

Add '3' to each side of the equation.
-3 + 3 + 9x = -30 + 3

Combine like terms: -3 + 3 = 0
0 + 9x = -30 + 3
9x = -30 + 3

Combine like terms: -30 + 3 = -27
9x = -27

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

Simplifying
x = -3

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