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

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


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

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

Reorder the terms:
-30 + x + 6x = -6x + -14

Combine like terms: x + 6x = 7x
-30 + 7x = -6x + -14

Reorder the terms:
-30 + 7x = -14 + -6x

Solving
-30 + 7x = -14 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.
-30 + 7x + 6x = -14 + -6x + 6x

Combine like terms: 7x + 6x = 13x
-30 + 13x = -14 + -6x + 6x

Combine like terms: -6x + 6x = 0
-30 + 13x = -14 + 0
-30 + 13x = -14

Add '30' to each side of the equation.
-30 + 30 + 13x = -14 + 30

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

Combine like terms: -14 + 30 = 16
13x = 16

Divide each side by '13'.
x = 1.230769231

Simplifying
x = 1.230769231

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