8-2(x-5)=4(2x+12)

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Solution for 8-2(x-5)=4(2x+12) equation:


Simplifying
8 + -2(x + -5) = 4(2x + 12)

Reorder the terms:
8 + -2(-5 + x) = 4(2x + 12)
8 + (-5 * -2 + x * -2) = 4(2x + 12)
8 + (10 + -2x) = 4(2x + 12)

Combine like terms: 8 + 10 = 18
18 + -2x = 4(2x + 12)

Reorder the terms:
18 + -2x = 4(12 + 2x)
18 + -2x = (12 * 4 + 2x * 4)
18 + -2x = (48 + 8x)

Solving
18 + -2x = 48 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18 + -2x + -8x = 48 + 8x + -8x

Combine like terms: -2x + -8x = -10x
18 + -10x = 48 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -10x = 48 + 0
18 + -10x = 48

Add '-18' to each side of the equation.
18 + -18 + -10x = 48 + -18

Combine like terms: 18 + -18 = 0
0 + -10x = 48 + -18
-10x = 48 + -18

Combine like terms: 48 + -18 = 30
-10x = 30

Divide each side by '-10'.
x = -3

Simplifying
x = -3

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