3x+19=11x-53

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Solution for 3x+19=11x-53 equation:


Simplifying
3x + 19 = 11x + -53

Reorder the terms:
19 + 3x = 11x + -53

Reorder the terms:
19 + 3x = -53 + 11x

Solving
19 + 3x = -53 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
19 + 3x + -11x = -53 + 11x + -11x

Combine like terms: 3x + -11x = -8x
19 + -8x = -53 + 11x + -11x

Combine like terms: 11x + -11x = 0
19 + -8x = -53 + 0
19 + -8x = -53

Add '-19' to each side of the equation.
19 + -19 + -8x = -53 + -19

Combine like terms: 19 + -19 = 0
0 + -8x = -53 + -19
-8x = -53 + -19

Combine like terms: -53 + -19 = -72
-8x = -72

Divide each side by '-8'.
x = 9

Simplifying
x = 9

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