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

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


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

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

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

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

Reorder the terms:
-36 + 1x = 3 + 2x

Solving
-36 + 1x = 3 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
-36 + -1x = 3 + 0
-36 + -1x = 3

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

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

Combine like terms: 3 + 36 = 39
-1x = 39

Divide each side by '-1'.
x = -39

Simplifying
x = -39

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