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

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


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

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

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

Solving
-10 + 6x = 2 + 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 = 2 + 8x + -8x

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

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

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

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

Combine like terms: 2 + 10 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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