7(x+4)=13x-11

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Solution for 7(x+4)=13x-11 equation:


Simplifying
7(x + 4) = 13x + -11

Reorder the terms:
7(4 + x) = 13x + -11
(4 * 7 + x * 7) = 13x + -11
(28 + 7x) = 13x + -11

Reorder the terms:
28 + 7x = -11 + 13x

Solving
28 + 7x = -11 + 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 + 7x + -13x = -11 + 13x + -13x

Combine like terms: 7x + -13x = -6x
28 + -6x = -11 + 13x + -13x

Combine like terms: 13x + -13x = 0
28 + -6x = -11 + 0
28 + -6x = -11

Add '-28' to each side of the equation.
28 + -28 + -6x = -11 + -28

Combine like terms: 28 + -28 = 0
0 + -6x = -11 + -28
-6x = -11 + -28

Combine like terms: -11 + -28 = -39
-6x = -39

Divide each side by '-6'.
x = 6.5

Simplifying
x = 6.5

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