2(3x-7)+5(x-1)=9

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Solution for 2(3x-7)+5(x-1)=9 equation:


Simplifying
2(3x + -7) + 5(x + -1) = 9

Reorder the terms:
2(-7 + 3x) + 5(x + -1) = 9
(-7 * 2 + 3x * 2) + 5(x + -1) = 9
(-14 + 6x) + 5(x + -1) = 9

Reorder the terms:
-14 + 6x + 5(-1 + x) = 9
-14 + 6x + (-1 * 5 + x * 5) = 9
-14 + 6x + (-5 + 5x) = 9

Reorder the terms:
-14 + -5 + 6x + 5x = 9

Combine like terms: -14 + -5 = -19
-19 + 6x + 5x = 9

Combine like terms: 6x + 5x = 11x
-19 + 11x = 9

Solving
-19 + 11x = 9

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 11x = 9 + 19

Combine like terms: -19 + 19 = 0
0 + 11x = 9 + 19
11x = 9 + 19

Combine like terms: 9 + 19 = 28
11x = 28

Divide each side by '11'.
x = 2.545454545

Simplifying
x = 2.545454545

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