-13-(x-2)=-3(x-3)

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


Simplifying
-13 + -1(x + -2) = -3(x + -3)

Reorder the terms:
-13 + -1(-2 + x) = -3(x + -3)
-13 + (-2 * -1 + x * -1) = -3(x + -3)
-13 + (2 + -1x) = -3(x + -3)

Combine like terms: -13 + 2 = -11
-11 + -1x = -3(x + -3)

Reorder the terms:
-11 + -1x = -3(-3 + x)
-11 + -1x = (-3 * -3 + x * -3)
-11 + -1x = (9 + -3x)

Solving
-11 + -1x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-11 + -1x + 3x = 9 + -3x + 3x

Combine like terms: -1x + 3x = 2x
-11 + 2x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
-11 + 2x = 9 + 0
-11 + 2x = 9

Add '11' to each side of the equation.
-11 + 11 + 2x = 9 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 9 + 11
2x = 9 + 11

Combine like terms: 9 + 11 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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