5(x-9)-3x=4(x-2)-1

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Solution for 5(x-9)-3x=4(x-2)-1 equation: 


Simplifying
5(x + -9) + -3x = 4(x + -2) + -1

Reorder the terms:
5(-9 + x) + -3x = 4(x + -2) + -1
(-9 * 5 + x * 5) + -3x = 4(x + -2) + -1
(-45 + 5x) + -3x = 4(x + -2) + -1

Combine like terms: 5x + -3x = 2x
-45 + 2x = 4(x + -2) + -1

Reorder the terms:
-45 + 2x = 4(-2 + x) + -1
-45 + 2x = (-2 * 4 + x * 4) + -1
-45 + 2x = (-8 + 4x) + -1

Reorder the terms:
-45 + 2x = -8 + -1 + 4x

Combine like terms: -8 + -1 = -9
-45 + 2x = -9 + 4x

Solving
-45 + 2x = -9 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-45 + 2x + -4x = -9 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-45 + -2x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-45 + -2x = -9 + 0
-45 + -2x = -9

Add '45' to each side of the equation.
-45 + 45 + -2x = -9 + 45

Combine like terms: -45 + 45 = 0
0 + -2x = -9 + 45
-2x = -9 + 45

Combine like terms: -9 + 45 = 36
-2x = 36

Divide each side by '-2'.
x = -18

Simplifying
x = -18

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