5+6(x-4)=2-4(x-8)

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Solution for 5+6(x-4)=2-4(x-8) equation:


Simplifying
5 + 6(x + -4) = 2 + -4(x + -8)

Reorder the terms:
5 + 6(-4 + x) = 2 + -4(x + -8)
5 + (-4 * 6 + x * 6) = 2 + -4(x + -8)
5 + (-24 + 6x) = 2 + -4(x + -8)

Combine like terms: 5 + -24 = -19
-19 + 6x = 2 + -4(x + -8)

Reorder the terms:
-19 + 6x = 2 + -4(-8 + x)
-19 + 6x = 2 + (-8 * -4 + x * -4)
-19 + 6x = 2 + (32 + -4x)

Combine like terms: 2 + 32 = 34
-19 + 6x = 34 + -4x

Solving
-19 + 6x = 34 + -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.
-19 + 6x + 4x = 34 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-19 + 10x = 34 + -4x + 4x

Combine like terms: -4x + 4x = 0
-19 + 10x = 34 + 0
-19 + 10x = 34

Add '19' to each side of the equation.
-19 + 19 + 10x = 34 + 19

Combine like terms: -19 + 19 = 0
0 + 10x = 34 + 19
10x = 34 + 19

Combine like terms: 34 + 19 = 53
10x = 53

Divide each side by '10'.
x = 5.3

Simplifying
x = 5.3

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