13-6(x-2)=x-3

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Solution for 13-6(x-2)=x-3 equation:


Simplifying
13 + -6(x + -2) = x + -3

Reorder the terms:
13 + -6(-2 + x) = x + -3
13 + (-2 * -6 + x * -6) = x + -3
13 + (12 + -6x) = x + -3

Combine like terms: 13 + 12 = 25
25 + -6x = x + -3

Reorder the terms:
25 + -6x = -3 + x

Solving
25 + -6x = -3 + 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.
25 + -6x + -1x = -3 + x + -1x

Combine like terms: -6x + -1x = -7x
25 + -7x = -3 + x + -1x

Combine like terms: x + -1x = 0
25 + -7x = -3 + 0
25 + -7x = -3

Add '-25' to each side of the equation.
25 + -25 + -7x = -3 + -25

Combine like terms: 25 + -25 = 0
0 + -7x = -3 + -25
-7x = -3 + -25

Combine like terms: -3 + -25 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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