6(3-x)=8x-10

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Solution for 6(3-x)=8x-10 equation:


Simplifying
6(3 + -1x) = 8x + -10
(3 * 6 + -1x * 6) = 8x + -10
(18 + -6x) = 8x + -10

Reorder the terms:
18 + -6x = -10 + 8x

Solving
18 + -6x = -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.
18 + -6x + -8x = -10 + 8x + -8x

Combine like terms: -6x + -8x = -14x
18 + -14x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -14x = -10 + 0
18 + -14x = -10

Add '-18' to each side of the equation.
18 + -18 + -14x = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -14x = -10 + -18
-14x = -10 + -18

Combine like terms: -10 + -18 = -28
-14x = -28

Divide each side by '-14'.
x = 2

Simplifying
x = 2

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