6x+21=13x+56

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Solution for 6x+21=13x+56 equation:


Simplifying
6x + 21 = 13x + 56

Reorder the terms:
21 + 6x = 13x + 56

Reorder the terms:
21 + 6x = 56 + 13x

Solving
21 + 6x = 56 + 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.
21 + 6x + -13x = 56 + 13x + -13x

Combine like terms: 6x + -13x = -7x
21 + -7x = 56 + 13x + -13x

Combine like terms: 13x + -13x = 0
21 + -7x = 56 + 0
21 + -7x = 56

Add '-21' to each side of the equation.
21 + -21 + -7x = 56 + -21

Combine like terms: 21 + -21 = 0
0 + -7x = 56 + -21
-7x = 56 + -21

Combine like terms: 56 + -21 = 35
-7x = 35

Divide each side by '-7'.
x = -5

Simplifying
x = -5

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