10-6(x-4)=2x-8

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Solution for 10-6(x-4)=2x-8 equation:


Simplifying
10 + -6(x + -4) = 2x + -8

Reorder the terms:
10 + -6(-4 + x) = 2x + -8
10 + (-4 * -6 + x * -6) = 2x + -8
10 + (24 + -6x) = 2x + -8

Combine like terms: 10 + 24 = 34
34 + -6x = 2x + -8

Reorder the terms:
34 + -6x = -8 + 2x

Solving
34 + -6x = -8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
34 + -6x + -2x = -8 + 2x + -2x

Combine like terms: -6x + -2x = -8x
34 + -8x = -8 + 2x + -2x

Combine like terms: 2x + -2x = 0
34 + -8x = -8 + 0
34 + -8x = -8

Add '-34' to each side of the equation.
34 + -34 + -8x = -8 + -34

Combine like terms: 34 + -34 = 0
0 + -8x = -8 + -34
-8x = -8 + -34

Combine like terms: -8 + -34 = -42
-8x = -42

Divide each side by '-8'.
x = 5.25

Simplifying
x = 5.25

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