6(x-4)=x+10

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Solution for 6(x-4)=x+10 equation:


Simplifying
6(x + -4) = x + 10

Reorder the terms:
6(-4 + x) = x + 10
(-4 * 6 + x * 6) = x + 10
(-24 + 6x) = x + 10

Reorder the terms:
-24 + 6x = 10 + x

Solving
-24 + 6x = 10 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-24 + 6x + -1x = 10 + x + -1x

Combine like terms: 6x + -1x = 5x
-24 + 5x = 10 + x + -1x

Combine like terms: x + -1x = 0
-24 + 5x = 10 + 0
-24 + 5x = 10

Add '24' to each side of the equation.
-24 + 24 + 5x = 10 + 24

Combine like terms: -24 + 24 = 0
0 + 5x = 10 + 24
5x = 10 + 24

Combine like terms: 10 + 24 = 34
5x = 34

Divide each side by '5'.
x = 6.8

Simplifying
x = 6.8

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