2(x-3)-13=x-21

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Solution for 2(x-3)-13=x-21 equation:


Simplifying
2(x + -3) + -13 = x + -21

Reorder the terms:
2(-3 + x) + -13 = x + -21
(-3 * 2 + x * 2) + -13 = x + -21
(-6 + 2x) + -13 = x + -21

Reorder the terms:
-6 + -13 + 2x = x + -21

Combine like terms: -6 + -13 = -19
-19 + 2x = x + -21

Reorder the terms:
-19 + 2x = -21 + x

Solving
-19 + 2x = -21 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-19 + 2x + -1x = -21 + x + -1x

Combine like terms: 2x + -1x = 1x
-19 + 1x = -21 + x + -1x

Combine like terms: x + -1x = 0
-19 + 1x = -21 + 0
-19 + 1x = -21

Add '19' to each side of the equation.
-19 + 19 + 1x = -21 + 19

Combine like terms: -19 + 19 = 0
0 + 1x = -21 + 19
1x = -21 + 19

Combine like terms: -21 + 19 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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