3x-5(x-4)=-8+4x+10

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Solution for 3x-5(x-4)=-8+4x+10 equation: 


Simplifying
3x + -5(x + -4) = -8 + 4x + 10

Reorder the terms:
3x + -5(-4 + x) = -8 + 4x + 10
3x + (-4 * -5 + x * -5) = -8 + 4x + 10
3x + (20 + -5x) = -8 + 4x + 10

Reorder the terms:
20 + 3x + -5x = -8 + 4x + 10

Combine like terms: 3x + -5x = -2x
20 + -2x = -8 + 4x + 10

Reorder the terms:
20 + -2x = -8 + 10 + 4x

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

Solving
20 + -2x = 2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
20 + -2x + -4x = 2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
20 + -6x = 2 + 0
20 + -6x = 2

Add '-20' to each side of the equation.
20 + -20 + -6x = 2 + -20

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

Combine like terms: 2 + -20 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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