(6x+49)+(13x-16)=90

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Solution for (6x+49)+(13x-16)=90 equation:


Simplifying
(6x + 49) + (13x + -16) = 90

Reorder the terms:
(49 + 6x) + (13x + -16) = 90

Remove parenthesis around (49 + 6x)
49 + 6x + (13x + -16) = 90

Reorder the terms:
49 + 6x + (-16 + 13x) = 90

Remove parenthesis around (-16 + 13x)
49 + 6x + -16 + 13x = 90

Reorder the terms:
49 + -16 + 6x + 13x = 90

Combine like terms: 49 + -16 = 33
33 + 6x + 13x = 90

Combine like terms: 6x + 13x = 19x
33 + 19x = 90

Solving
33 + 19x = 90

Solving for variable 'x'.

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

Add '-33' to each side of the equation.
33 + -33 + 19x = 90 + -33

Combine like terms: 33 + -33 = 0
0 + 19x = 90 + -33
19x = 90 + -33

Combine like terms: 90 + -33 = 57
19x = 57

Divide each side by '19'.
x = 3

Simplifying
x = 3

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