6(x+5)-9(9x-7)=19

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Solution for 6(x+5)-9(9x-7)=19 equation: 


Simplifying
6(x + 5) + -9(9x + -7) = 19

Reorder the terms:
6(5 + x) + -9(9x + -7) = 19
(5 * 6 + x * 6) + -9(9x + -7) = 19
(30 + 6x) + -9(9x + -7) = 19

Reorder the terms:
30 + 6x + -9(-7 + 9x) = 19
30 + 6x + (-7 * -9 + 9x * -9) = 19
30 + 6x + (63 + -81x) = 19

Reorder the terms:
30 + 63 + 6x + -81x = 19

Combine like terms: 30 + 63 = 93
93 + 6x + -81x = 19

Combine like terms: 6x + -81x = -75x
93 + -75x = 19

Solving
93 + -75x = 19

Solving for variable 'x'.

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

Add '-93' to each side of the equation.
93 + -93 + -75x = 19 + -93

Combine like terms: 93 + -93 = 0
0 + -75x = 19 + -93
-75x = 19 + -93

Combine like terms: 19 + -93 = -74
-75x = -74

Divide each side by '-75'.
x = 0.9866666667

Simplifying
x = 0.9866666667

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