5x-10=2(8x+6)

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Solution for 5x-10=2(8x+6) equation:


Simplifying
5x + -10 = 2(8x + 6)

Reorder the terms:
-10 + 5x = 2(8x + 6)

Reorder the terms:
-10 + 5x = 2(6 + 8x)
-10 + 5x = (6 * 2 + 8x * 2)
-10 + 5x = (12 + 16x)

Solving
-10 + 5x = 12 + 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.
-10 + 5x + -16x = 12 + 16x + -16x

Combine like terms: 5x + -16x = -11x
-10 + -11x = 12 + 16x + -16x

Combine like terms: 16x + -16x = 0
-10 + -11x = 12 + 0
-10 + -11x = 12

Add '10' to each side of the equation.
-10 + 10 + -11x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + -11x = 12 + 10
-11x = 12 + 10

Combine like terms: 12 + 10 = 22
-11x = 22

Divide each side by '-11'.
x = -2

Simplifying
x = -2

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