6(x-3)=8x+10

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


Simplifying
6(x + -3) = 8x + 10

Reorder the terms:
6(-3 + x) = 8x + 10
(-3 * 6 + x * 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 = -2x
-18 + -2x = 10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-18 + -2x = 10 + 0
-18 + -2x = 10

Add '18' to each side of the equation.
-18 + 18 + -2x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + -2x = 10 + 18
-2x = 10 + 18

Combine like terms: 10 + 18 = 28
-2x = 28

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

Simplifying
x = -14

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