13x-13=7x-7(3x-3)

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Solution for 13x-13=7x-7(3x-3) equation:


Simplifying
13x + -13 = 7x + -7(3x + -3)

Reorder the terms:
-13 + 13x = 7x + -7(3x + -3)

Reorder the terms:
-13 + 13x = 7x + -7(-3 + 3x)
-13 + 13x = 7x + (-3 * -7 + 3x * -7)
-13 + 13x = 7x + (21 + -21x)

Reorder the terms:
-13 + 13x = 21 + 7x + -21x

Combine like terms: 7x + -21x = -14x
-13 + 13x = 21 + -14x

Solving
-13 + 13x = 21 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-13 + 13x + 14x = 21 + -14x + 14x

Combine like terms: 13x + 14x = 27x
-13 + 27x = 21 + -14x + 14x

Combine like terms: -14x + 14x = 0
-13 + 27x = 21 + 0
-13 + 27x = 21

Add '13' to each side of the equation.
-13 + 13 + 27x = 21 + 13

Combine like terms: -13 + 13 = 0
0 + 27x = 21 + 13
27x = 21 + 13

Combine like terms: 21 + 13 = 34
27x = 34

Divide each side by '27'.
x = 1.259259259

Simplifying
x = 1.259259259

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