9x-2(x-3)=13

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Solution for 9x-2(x-3)=13 equation:


Simplifying
9x + -2(x + -3) = 13

Reorder the terms:
9x + -2(-3 + x) = 13
9x + (-3 * -2 + x * -2) = 13
9x + (6 + -2x) = 13

Reorder the terms:
6 + 9x + -2x = 13

Combine like terms: 9x + -2x = 7x
6 + 7x = 13

Solving
6 + 7x = 13

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 7x = 13 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 13 + -6
7x = 13 + -6

Combine like terms: 13 + -6 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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