2x-3=5x-4(x+9)

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Solution for 2x-3=5x-4(x+9) equation:


Simplifying
2x + -3 = 5x + -4(x + 9)

Reorder the terms:
-3 + 2x = 5x + -4(x + 9)

Reorder the terms:
-3 + 2x = 5x + -4(9 + x)
-3 + 2x = 5x + (9 * -4 + x * -4)
-3 + 2x = 5x + (-36 + -4x)

Reorder the terms:
-3 + 2x = -36 + 5x + -4x

Combine like terms: 5x + -4x = 1x
-3 + 2x = -36 + 1x

Solving
-3 + 2x = -36 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-3 + 2x + -1x = -36 + 1x + -1x

Combine like terms: 2x + -1x = 1x
-3 + 1x = -36 + 1x + -1x

Combine like terms: 1x + -1x = 0
-3 + 1x = -36 + 0
-3 + 1x = -36

Add '3' to each side of the equation.
-3 + 3 + 1x = -36 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = -36 + 3
1x = -36 + 3

Combine like terms: -36 + 3 = -33
1x = -33

Divide each side by '1'.
x = -33

Simplifying
x = -33

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