6(x+5)=16x-6

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Solution for 6(x+5)=16x-6 equation:


Simplifying
6(x + 5) = 16x + -6

Reorder the terms:
6(5 + x) = 16x + -6
(5 * 6 + x * 6) = 16x + -6
(30 + 6x) = 16x + -6

Reorder the terms:
30 + 6x = -6 + 16x

Solving
30 + 6x = -6 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
30 + 6x + -16x = -6 + 16x + -16x

Combine like terms: 6x + -16x = -10x
30 + -10x = -6 + 16x + -16x

Combine like terms: 16x + -16x = 0
30 + -10x = -6 + 0
30 + -10x = -6

Add '-30' to each side of the equation.
30 + -30 + -10x = -6 + -30

Combine like terms: 30 + -30 = 0
0 + -10x = -6 + -30
-10x = -6 + -30

Combine like terms: -6 + -30 = -36
-10x = -36

Divide each side by '-10'.
x = 3.6

Simplifying
x = 3.6

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