15x-(2x-6)=45

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Solution for 15x-(2x-6)=45 equation:


Simplifying
15x + -1(2x + -6) = 45

Reorder the terms:
15x + -1(-6 + 2x) = 45
15x + (-6 * -1 + 2x * -1) = 45
15x + (6 + -2x) = 45

Reorder the terms:
6 + 15x + -2x = 45

Combine like terms: 15x + -2x = 13x
6 + 13x = 45

Solving
6 + 13x = 45

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 + 13x = 45 + -6

Combine like terms: 6 + -6 = 0
0 + 13x = 45 + -6
13x = 45 + -6

Combine like terms: 45 + -6 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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