4(x-2)+8(x-4)=8

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


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

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

Reorder the terms:
-8 + 4x + 8(-4 + x) = 8
-8 + 4x + (-4 * 8 + x * 8) = 8
-8 + 4x + (-32 + 8x) = 8

Reorder the terms:
-8 + -32 + 4x + 8x = 8

Combine like terms: -8 + -32 = -40
-40 + 4x + 8x = 8

Combine like terms: 4x + 8x = 12x
-40 + 12x = 8

Solving
-40 + 12x = 8

Solving for variable 'x'.

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

Add '40' to each side of the equation.
-40 + 40 + 12x = 8 + 40

Combine like terms: -40 + 40 = 0
0 + 12x = 8 + 40
12x = 8 + 40

Combine like terms: 8 + 40 = 48
12x = 48

Divide each side by '12'.
x = 4

Simplifying
x = 4

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