2(3x-5)=8x+6

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Solution for 2(3x-5)=8x+6 equation:


Simplifying
2(3x + -5) = 8x + 6

Reorder the terms:
2(-5 + 3x) = 8x + 6
(-5 * 2 + 3x * 2) = 8x + 6
(-10 + 6x) = 8x + 6

Reorder the terms:
-10 + 6x = 6 + 8x

Solving
-10 + 6x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 6x + -8x = 6 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-10 + -2x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -2x = 6 + 0
-10 + -2x = 6

Add '10' to each side of the equation.
-10 + 10 + -2x = 6 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = 6 + 10
-2x = 6 + 10

Combine like terms: 6 + 10 = 16
-2x = 16

Divide each side by '-2'.
x = -8

Simplifying
x = -8

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