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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