7x+30=11x-24

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Solution for 7x+30=11x-24 equation:


Simplifying
7x + 30 = 11x + -24

Reorder the terms:
30 + 7x = 11x + -24

Reorder the terms:
30 + 7x = -24 + 11x

Solving
30 + 7x = -24 + 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.
30 + 7x + -11x = -24 + 11x + -11x

Combine like terms: 7x + -11x = -4x
30 + -4x = -24 + 11x + -11x

Combine like terms: 11x + -11x = 0
30 + -4x = -24 + 0
30 + -4x = -24

Add '-30' to each side of the equation.
30 + -30 + -4x = -24 + -30

Combine like terms: 30 + -30 = 0
0 + -4x = -24 + -30
-4x = -24 + -30

Combine like terms: -24 + -30 = -54
-4x = -54

Divide each side by '-4'.
x = 13.5

Simplifying
x = 13.5

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