8(x+2)=10x-16

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Solution for 8(x+2)=10x-16 equation:


Simplifying
8(x + 2) = 10x + -16

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

Reorder the terms:
16 + 8x = -16 + 10x

Solving
16 + 8x = -16 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
16 + 8x + -10x = -16 + 10x + -10x

Combine like terms: 8x + -10x = -2x
16 + -2x = -16 + 10x + -10x

Combine like terms: 10x + -10x = 0
16 + -2x = -16 + 0
16 + -2x = -16

Add '-16' to each side of the equation.
16 + -16 + -2x = -16 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = -16 + -16
-2x = -16 + -16

Combine like terms: -16 + -16 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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