49-22x=4(9-5x)-3

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Solution for 49-22x=4(9-5x)-3 equation:


Simplifying
49 + -22x = 4(9 + -5x) + -3
49 + -22x = (9 * 4 + -5x * 4) + -3
49 + -22x = (36 + -20x) + -3

Reorder the terms:
49 + -22x = 36 + -3 + -20x

Combine like terms: 36 + -3 = 33
49 + -22x = 33 + -20x

Solving
49 + -22x = 33 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
49 + -22x + 20x = 33 + -20x + 20x

Combine like terms: -22x + 20x = -2x
49 + -2x = 33 + -20x + 20x

Combine like terms: -20x + 20x = 0
49 + -2x = 33 + 0
49 + -2x = 33

Add '-49' to each side of the equation.
49 + -49 + -2x = 33 + -49

Combine like terms: 49 + -49 = 0
0 + -2x = 33 + -49
-2x = 33 + -49

Combine like terms: 33 + -49 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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