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

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


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

Reorder the terms:
4(-4 + x) = 2(x + -5)
(-4 * 4 + x * 4) = 2(x + -5)
(-16 + 4x) = 2(x + -5)

Reorder the terms:
-16 + 4x = 2(-5 + x)
-16 + 4x = (-5 * 2 + x * 2)
-16 + 4x = (-10 + 2x)

Solving
-16 + 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.
-16 + 4x + -2x = -10 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-16 + 2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-16 + 2x = -10 + 0
-16 + 2x = -10

Add '16' to each side of the equation.
-16 + 16 + 2x = -10 + 16

Combine like terms: -16 + 16 = 0
0 + 2x = -10 + 16
2x = -10 + 16

Combine like terms: -10 + 16 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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