7(x+3)=13x-6

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Solution for 7(x+3)=13x-6 equation:


Simplifying
7(x + 3) = 13x + -6

Reorder the terms:
7(3 + x) = 13x + -6
(3 * 7 + x * 7) = 13x + -6
(21 + 7x) = 13x + -6

Reorder the terms:
21 + 7x = -6 + 13x

Solving
21 + 7x = -6 + 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 + 7x + -13x = -6 + 13x + -13x

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

Combine like terms: 13x + -13x = 0
21 + -6x = -6 + 0
21 + -6x = -6

Add '-21' to each side of the equation.
21 + -21 + -6x = -6 + -21

Combine like terms: 21 + -21 = 0
0 + -6x = -6 + -21
-6x = -6 + -21

Combine like terms: -6 + -21 = -27
-6x = -27

Divide each side by '-6'.
x = 4.5

Simplifying
x = 4.5

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