4x+16=13x-52

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Solution for 4x+16=13x-52 equation:


Simplifying
4x + 16 = 13x + -52

Reorder the terms:
16 + 4x = 13x + -52

Reorder the terms:
16 + 4x = -52 + 13x

Solving
16 + 4x = -52 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
16 + 4x + -13x = -52 + 13x + -13x

Combine like terms: 4x + -13x = -9x
16 + -9x = -52 + 13x + -13x

Combine like terms: 13x + -13x = 0
16 + -9x = -52 + 0
16 + -9x = -52

Add '-16' to each side of the equation.
16 + -16 + -9x = -52 + -16

Combine like terms: 16 + -16 = 0
0 + -9x = -52 + -16
-9x = -52 + -16

Combine like terms: -52 + -16 = -68
-9x = -68

Divide each side by '-9'.
x = 7.555555556

Simplifying
x = 7.555555556

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