2(x+3)=8(x-1)-10

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Solution for 2(x+3)=8(x-1)-10 equation:


Simplifying
2(x + 3) = 8(x + -1) + -10

Reorder the terms:
2(3 + x) = 8(x + -1) + -10
(3 * 2 + x * 2) = 8(x + -1) + -10
(6 + 2x) = 8(x + -1) + -10

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

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

Combine like terms: -8 + -10 = -18
6 + 2x = -18 + 8x

Solving
6 + 2x = -18 + 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 + 2x + -8x = -18 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = -18 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -6x = -18 + 0
6 + -6x = -18

Add '-6' to each side of the equation.
6 + -6 + -6x = -18 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = -18 + -6
-6x = -18 + -6

Combine like terms: -18 + -6 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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