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

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


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

Reorder the terms:
2 + 4(-8 + x) = 5 + -6(x + -8)
2 + (-8 * 4 + x * 4) = 5 + -6(x + -8)
2 + (-32 + 4x) = 5 + -6(x + -8)

Combine like terms: 2 + -32 = -30
-30 + 4x = 5 + -6(x + -8)

Reorder the terms:
-30 + 4x = 5 + -6(-8 + x)
-30 + 4x = 5 + (-8 * -6 + x * -6)
-30 + 4x = 5 + (48 + -6x)

Combine like terms: 5 + 48 = 53
-30 + 4x = 53 + -6x

Solving
-30 + 4x = 53 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-30 + 4x + 6x = 53 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-30 + 10x = 53 + -6x + 6x

Combine like terms: -6x + 6x = 0
-30 + 10x = 53 + 0
-30 + 10x = 53

Add '30' to each side of the equation.
-30 + 30 + 10x = 53 + 30

Combine like terms: -30 + 30 = 0
0 + 10x = 53 + 30
10x = 53 + 30

Combine like terms: 53 + 30 = 83
10x = 83

Divide each side by '10'.
x = 8.3

Simplifying
x = 8.3

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