9(x-5)+2(x-1)=19

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Solution for 9(x-5)+2(x-1)=19 equation: 


Simplifying
9(x + -5) + 2(x + -1) = 19

Reorder the terms:
9(-5 + x) + 2(x + -1) = 19
(-5 * 9 + x * 9) + 2(x + -1) = 19
(-45 + 9x) + 2(x + -1) = 19

Reorder the terms:
-45 + 9x + 2(-1 + x) = 19
-45 + 9x + (-1 * 2 + x * 2) = 19
-45 + 9x + (-2 + 2x) = 19

Reorder the terms:
-45 + -2 + 9x + 2x = 19

Combine like terms: -45 + -2 = -47
-47 + 9x + 2x = 19

Combine like terms: 9x + 2x = 11x
-47 + 11x = 19

Solving
-47 + 11x = 19

Solving for variable 'x'.

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

Add '47' to each side of the equation.
-47 + 47 + 11x = 19 + 47

Combine like terms: -47 + 47 = 0
0 + 11x = 19 + 47
11x = 19 + 47

Combine like terms: 19 + 47 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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