5x+11=20x-53

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Solution for 5x+11=20x-53 equation:


Simplifying
5x + 11 = 20x + -53

Reorder the terms:
11 + 5x = 20x + -53

Reorder the terms:
11 + 5x = -53 + 20x

Solving
11 + 5x = -53 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
11 + 5x + -20x = -53 + 20x + -20x

Combine like terms: 5x + -20x = -15x
11 + -15x = -53 + 20x + -20x

Combine like terms: 20x + -20x = 0
11 + -15x = -53 + 0
11 + -15x = -53

Add '-11' to each side of the equation.
11 + -11 + -15x = -53 + -11

Combine like terms: 11 + -11 = 0
0 + -15x = -53 + -11
-15x = -53 + -11

Combine like terms: -53 + -11 = -64
-15x = -64

Divide each side by '-15'.
x = 4.266666667

Simplifying
x = 4.266666667

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