3(x-10)+(x-19)=13

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Solution for 3(x-10)+(x-19)=13 equation:


Simplifying
3(x + -10) + (x + -19) = 13

Reorder the terms:
3(-10 + x) + (x + -19) = 13
(-10 * 3 + x * 3) + (x + -19) = 13
(-30 + 3x) + (x + -19) = 13

Reorder the terms:
-30 + 3x + (-19 + x) = 13

Remove parenthesis around (-19 + x)
-30 + 3x + -19 + x = 13

Reorder the terms:
-30 + -19 + 3x + x = 13

Combine like terms: -30 + -19 = -49
-49 + 3x + x = 13

Combine like terms: 3x + x = 4x
-49 + 4x = 13

Solving
-49 + 4x = 13

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 4x = 13 + 49

Combine like terms: -49 + 49 = 0
0 + 4x = 13 + 49
4x = 13 + 49

Combine like terms: 13 + 49 = 62
4x = 62

Divide each side by '4'.
x = 15.5

Simplifying
x = 15.5

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