4x+24=11x-53

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Solution for 4x+24=11x-53 equation:


Simplifying
4x + 24 = 11x + -53

Reorder the terms:
24 + 4x = 11x + -53

Reorder the terms:
24 + 4x = -53 + 11x

Solving
24 + 4x = -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.
24 + 4x + -11x = -53 + 11x + -11x

Combine like terms: 4x + -11x = -7x
24 + -7x = -53 + 11x + -11x

Combine like terms: 11x + -11x = 0
24 + -7x = -53 + 0
24 + -7x = -53

Add '-24' to each side of the equation.
24 + -24 + -7x = -53 + -24

Combine like terms: 24 + -24 = 0
0 + -7x = -53 + -24
-7x = -53 + -24

Combine like terms: -53 + -24 = -77
-7x = -77

Divide each side by '-7'.
x = 11

Simplifying
x = 11

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