5(x+6)=13x-14

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Solution for 5(x+6)=13x-14 equation:


Simplifying
5(x + 6) = 13x + -14

Reorder the terms:
5(6 + x) = 13x + -14
(6 * 5 + x * 5) = 13x + -14
(30 + 5x) = 13x + -14

Reorder the terms:
30 + 5x = -14 + 13x

Solving
30 + 5x = -14 + 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.
30 + 5x + -13x = -14 + 13x + -13x

Combine like terms: 5x + -13x = -8x
30 + -8x = -14 + 13x + -13x

Combine like terms: 13x + -13x = 0
30 + -8x = -14 + 0
30 + -8x = -14

Add '-30' to each side of the equation.
30 + -30 + -8x = -14 + -30

Combine like terms: 30 + -30 = 0
0 + -8x = -14 + -30
-8x = -14 + -30

Combine like terms: -14 + -30 = -44
-8x = -44

Divide each side by '-8'.
x = 5.5

Simplifying
x = 5.5

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