2(3x+5)=6-4(x-8)

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Solution for 2(3x+5)=6-4(x-8) equation:


Simplifying
2(3x + 5) = 6 + -4(x + -8)

Reorder the terms:
2(5 + 3x) = 6 + -4(x + -8)
(5 * 2 + 3x * 2) = 6 + -4(x + -8)
(10 + 6x) = 6 + -4(x + -8)

Reorder the terms:
10 + 6x = 6 + -4(-8 + x)
10 + 6x = 6 + (-8 * -4 + x * -4)
10 + 6x = 6 + (32 + -4x)

Combine like terms: 6 + 32 = 38
10 + 6x = 38 + -4x

Solving
10 + 6x = 38 + -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.
10 + 6x + 4x = 38 + -4x + 4x

Combine like terms: 6x + 4x = 10x
10 + 10x = 38 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 10x = 38 + 0
10 + 10x = 38

Add '-10' to each side of the equation.
10 + -10 + 10x = 38 + -10

Combine like terms: 10 + -10 = 0
0 + 10x = 38 + -10
10x = 38 + -10

Combine like terms: 38 + -10 = 28
10x = 28

Divide each side by '10'.
x = 2.8

Simplifying
x = 2.8

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