2(x-5)=4(x-3)-8

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Solution for 2(x-5)=4(x-3)-8 equation: 


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

Reorder the terms:
2(-5 + x) = 4(x + -3) + -8
(-5 * 2 + x * 2) = 4(x + -3) + -8
(-10 + 2x) = 4(x + -3) + -8

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

Reorder the terms:
-10 + 2x = -12 + -8 + 4x

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

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

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

Combine like terms: 4x + -4x = 0
-10 + -2x = -20 + 0
-10 + -2x = -20

Add '10' to each side of the equation.
-10 + 10 + -2x = -20 + 10

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

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

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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