6x+28=13x-49

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Solution for 6x+28=13x-49 equation:


Simplifying
6x + 28 = 13x + -49

Reorder the terms:
28 + 6x = 13x + -49

Reorder the terms:
28 + 6x = -49 + 13x

Solving
28 + 6x = -49 + 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 + 6x + -13x = -49 + 13x + -13x

Combine like terms: 6x + -13x = -7x
28 + -7x = -49 + 13x + -13x

Combine like terms: 13x + -13x = 0
28 + -7x = -49 + 0
28 + -7x = -49

Add '-28' to each side of the equation.
28 + -28 + -7x = -49 + -28

Combine like terms: 28 + -28 = 0
0 + -7x = -49 + -28
-7x = -49 + -28

Combine like terms: -49 + -28 = -77
-7x = -77

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

Simplifying
x = 11

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