6(2x+1)=8x-10

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Solution for 6(2x+1)=8x-10 equation:


Simplifying
6(2x + 1) = 8x + -10

Reorder the terms:
6(1 + 2x) = 8x + -10
(1 * 6 + 2x * 6) = 8x + -10
(6 + 12x) = 8x + -10

Reorder the terms:
6 + 12x = -10 + 8x

Solving
6 + 12x = -10 + 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.
6 + 12x + -8x = -10 + 8x + -8x

Combine like terms: 12x + -8x = 4x
6 + 4x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + 4x = -10 + 0
6 + 4x = -10

Add '-6' to each side of the equation.
6 + -6 + 4x = -10 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -10 + -6
4x = -10 + -6

Combine like terms: -10 + -6 = -16
4x = -16

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

Simplifying
x = -4

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