6(x-6)=8x-10

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


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

Reorder the terms:
6(-6 + x) = 8x + -10
(-6 * 6 + x * 6) = 8x + -10
(-36 + 6x) = 8x + -10

Reorder the terms:
-36 + 6x = -10 + 8x

Solving
-36 + 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.
-36 + 6x + -8x = -10 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-36 + -2x = -10 + 8x + -8x

Combine like terms: 8x + -8x = 0
-36 + -2x = -10 + 0
-36 + -2x = -10

Add '36' to each side of the equation.
-36 + 36 + -2x = -10 + 36

Combine like terms: -36 + 36 = 0
0 + -2x = -10 + 36
-2x = -10 + 36

Combine like terms: -10 + 36 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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