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

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


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

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

Reorder the terms:
-3 + 2x = -4(9 + 4x)
-3 + 2x = (9 * -4 + 4x * -4)
-3 + 2x = (-36 + -16x)

Solving
-3 + 2x = -36 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
-3 + 2x + 16x = -36 + -16x + 16x

Combine like terms: 2x + 16x = 18x
-3 + 18x = -36 + -16x + 16x

Combine like terms: -16x + 16x = 0
-3 + 18x = -36 + 0
-3 + 18x = -36

Add '3' to each side of the equation.
-3 + 3 + 18x = -36 + 3

Combine like terms: -3 + 3 = 0
0 + 18x = -36 + 3
18x = -36 + 3

Combine like terms: -36 + 3 = -33
18x = -33

Divide each side by '18'.
x = -1.833333333

Simplifying
x = -1.833333333

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