9(x-2)+6(2x-18)=13

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Solution for 9(x-2)+6(2x-18)=13 equation:


Simplifying
9(x + -2) + 6(2x + -18) = 13

Reorder the terms:
9(-2 + x) + 6(2x + -18) = 13
(-2 * 9 + x * 9) + 6(2x + -18) = 13
(-18 + 9x) + 6(2x + -18) = 13

Reorder the terms:
-18 + 9x + 6(-18 + 2x) = 13
-18 + 9x + (-18 * 6 + 2x * 6) = 13
-18 + 9x + (-108 + 12x) = 13

Reorder the terms:
-18 + -108 + 9x + 12x = 13

Combine like terms: -18 + -108 = -126
-126 + 9x + 12x = 13

Combine like terms: 9x + 12x = 21x
-126 + 21x = 13

Solving
-126 + 21x = 13

Solving for variable 'x'.

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

Add '126' to each side of the equation.
-126 + 126 + 21x = 13 + 126

Combine like terms: -126 + 126 = 0
0 + 21x = 13 + 126
21x = 13 + 126

Combine like terms: 13 + 126 = 139
21x = 139

Divide each side by '21'.
x = 6.619047619

Simplifying
x = 6.619047619

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