5(4x-9)-6=5(x-2)+49

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Solution for 5(4x-9)-6=5(x-2)+49 equation: 


Simplifying
5(4x + -9) + -6 = 5(x + -2) + 49

Reorder the terms:
5(-9 + 4x) + -6 = 5(x + -2) + 49
(-9 * 5 + 4x * 5) + -6 = 5(x + -2) + 49
(-45 + 20x) + -6 = 5(x + -2) + 49

Reorder the terms:
-45 + -6 + 20x = 5(x + -2) + 49

Combine like terms: -45 + -6 = -51
-51 + 20x = 5(x + -2) + 49

Reorder the terms:
-51 + 20x = 5(-2 + x) + 49
-51 + 20x = (-2 * 5 + x * 5) + 49
-51 + 20x = (-10 + 5x) + 49

Reorder the terms:
-51 + 20x = -10 + 49 + 5x

Combine like terms: -10 + 49 = 39
-51 + 20x = 39 + 5x

Solving
-51 + 20x = 39 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-51 + 20x + -5x = 39 + 5x + -5x

Combine like terms: 20x + -5x = 15x
-51 + 15x = 39 + 5x + -5x

Combine like terms: 5x + -5x = 0
-51 + 15x = 39 + 0
-51 + 15x = 39

Add '51' to each side of the equation.
-51 + 51 + 15x = 39 + 51

Combine like terms: -51 + 51 = 0
0 + 15x = 39 + 51
15x = 39 + 51

Combine like terms: 39 + 51 = 90
15x = 90

Divide each side by '15'.
x = 6

Simplifying
x = 6

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