4x+28=13x-40

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Solution for 4x+28=13x-40 equation:


Simplifying
4x + 28 = 13x + -40

Reorder the terms:
28 + 4x = 13x + -40

Reorder the terms:
28 + 4x = -40 + 13x

Solving
28 + 4x = -40 + 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.
28 + 4x + -13x = -40 + 13x + -13x

Combine like terms: 4x + -13x = -9x
28 + -9x = -40 + 13x + -13x

Combine like terms: 13x + -13x = 0
28 + -9x = -40 + 0
28 + -9x = -40

Add '-28' to each side of the equation.
28 + -28 + -9x = -40 + -28

Combine like terms: 28 + -28 = 0
0 + -9x = -40 + -28
-9x = -40 + -28

Combine like terms: -40 + -28 = -68
-9x = -68

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

Simplifying
x = 7.555555556

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