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

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


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

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

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

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

Reorder the terms:
-36 + 1x = -5 + 3x

Solving
-36 + 1x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + 1x + -3x = -5 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-36 + -2x = -5 + 0
-36 + -2x = -5

Add '36' to each side of the equation.
-36 + 36 + -2x = -5 + 36

Combine like terms: -36 + 36 = 0
0 + -2x = -5 + 36
-2x = -5 + 36

Combine like terms: -5 + 36 = 31
-2x = 31

Divide each side by '-2'.
x = -15.5

Simplifying
x = -15.5

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