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

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


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

Reorder the terms:
5(-2 + x) + (x + -3) = 5
(-2 * 5 + x * 5) + (x + -3) = 5
(-10 + 5x) + (x + -3) = 5

Reorder the terms:
-10 + 5x + (-3 + x) = 5

Remove parenthesis around (-3 + x)
-10 + 5x + -3 + x = 5

Reorder the terms:
-10 + -3 + 5x + x = 5

Combine like terms: -10 + -3 = -13
-13 + 5x + x = 5

Combine like terms: 5x + x = 6x
-13 + 6x = 5

Solving
-13 + 6x = 5

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 6x = 5 + 13

Combine like terms: -13 + 13 = 0
0 + 6x = 5 + 13
6x = 5 + 13

Combine like terms: 5 + 13 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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