2+5(x-13)=x-3

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Solution for 2+5(x-13)=x-3 equation:


Simplifying
2 + 5(x + -13) = x + -3

Reorder the terms:
2 + 5(-13 + x) = x + -3
2 + (-13 * 5 + x * 5) = x + -3
2 + (-65 + 5x) = x + -3

Combine like terms: 2 + -65 = -63
-63 + 5x = x + -3

Reorder the terms:
-63 + 5x = -3 + x

Solving
-63 + 5x = -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.
-63 + 5x + -1x = -3 + x + -1x

Combine like terms: 5x + -1x = 4x
-63 + 4x = -3 + x + -1x

Combine like terms: x + -1x = 0
-63 + 4x = -3 + 0
-63 + 4x = -3

Add '63' to each side of the equation.
-63 + 63 + 4x = -3 + 63

Combine like terms: -63 + 63 = 0
0 + 4x = -3 + 63
4x = -3 + 63

Combine like terms: -3 + 63 = 60
4x = 60

Divide each side by '4'.
x = 15

Simplifying
x = 15

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