2(5x+1)=8x-6

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Solution for 2(5x+1)=8x-6 equation:


Simplifying
2(5x + 1) = 8x + -6

Reorder the terms:
2(1 + 5x) = 8x + -6
(1 * 2 + 5x * 2) = 8x + -6
(2 + 10x) = 8x + -6

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

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

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

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

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

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

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

Divide each side by '2'.
x = -4

Simplifying
x = -4

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