8-4(x-3)=2x-10

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Solution for 8-4(x-3)=2x-10 equation:


Simplifying
8 + -4(x + -3) = 2x + -10

Reorder the terms:
8 + -4(-3 + x) = 2x + -10
8 + (-3 * -4 + x * -4) = 2x + -10
8 + (12 + -4x) = 2x + -10

Combine like terms: 8 + 12 = 20
20 + -4x = 2x + -10

Reorder the terms:
20 + -4x = -10 + 2x

Solving
20 + -4x = -10 + 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.
20 + -4x + -2x = -10 + 2x + -2x

Combine like terms: -4x + -2x = -6x
20 + -6x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -6x = -10 + 0
20 + -6x = -10

Add '-20' to each side of the equation.
20 + -20 + -6x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -6x = -10 + -20
-6x = -10 + -20

Combine like terms: -10 + -20 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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