7(x+2)=13x-19

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Solution for 7(x+2)=13x-19 equation:


Simplifying
7(x + 2) = 13x + -19

Reorder the terms:
7(2 + x) = 13x + -19
(2 * 7 + x * 7) = 13x + -19
(14 + 7x) = 13x + -19

Reorder the terms:
14 + 7x = -19 + 13x

Solving
14 + 7x = -19 + 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.
14 + 7x + -13x = -19 + 13x + -13x

Combine like terms: 7x + -13x = -6x
14 + -6x = -19 + 13x + -13x

Combine like terms: 13x + -13x = 0
14 + -6x = -19 + 0
14 + -6x = -19

Add '-14' to each side of the equation.
14 + -14 + -6x = -19 + -14

Combine like terms: 14 + -14 = 0
0 + -6x = -19 + -14
-6x = -19 + -14

Combine like terms: -19 + -14 = -33
-6x = -33

Divide each side by '-6'.
x = 5.5

Simplifying
x = 5.5

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