2x+78=11x-48

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Solution for 2x+78=11x-48 equation:


Simplifying
2x + 78 = 11x + -48

Reorder the terms:
78 + 2x = 11x + -48

Reorder the terms:
78 + 2x = -48 + 11x

Solving
78 + 2x = -48 + 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.
78 + 2x + -11x = -48 + 11x + -11x

Combine like terms: 2x + -11x = -9x
78 + -9x = -48 + 11x + -11x

Combine like terms: 11x + -11x = 0
78 + -9x = -48 + 0
78 + -9x = -48

Add '-78' to each side of the equation.
78 + -78 + -9x = -48 + -78

Combine like terms: 78 + -78 = 0
0 + -9x = -48 + -78
-9x = -48 + -78

Combine like terms: -48 + -78 = -126
-9x = -126

Divide each side by '-9'.
x = 14

Simplifying
x = 14

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