2x-3=-1(4x+9)

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Solution for 2x-3=-1(4x+9) equation:


Simplifying
2x + -3 = -1(4x + 9)

Reorder the terms:
-3 + 2x = -1(4x + 9)

Reorder the terms:
-3 + 2x = -1(9 + 4x)
-3 + 2x = (9 * -1 + 4x * -1)
-3 + 2x = (-9 + -4x)

Solving
-3 + 2x = -9 + -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.
-3 + 2x + 4x = -9 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-3 + 6x = -9 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 6x = -9 + 0
-3 + 6x = -9

Add '3' to each side of the equation.
-3 + 3 + 6x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = -9 + 3
6x = -9 + 3

Combine like terms: -9 + 3 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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