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

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


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

Reorder the terms:
6 + 3(-8 + x) = 8 + -4(x + -8)
6 + (-8 * 3 + x * 3) = 8 + -4(x + -8)
6 + (-24 + 3x) = 8 + -4(x + -8)

Combine like terms: 6 + -24 = -18
-18 + 3x = 8 + -4(x + -8)

Reorder the terms:
-18 + 3x = 8 + -4(-8 + x)
-18 + 3x = 8 + (-8 * -4 + x * -4)
-18 + 3x = 8 + (32 + -4x)

Combine like terms: 8 + 32 = 40
-18 + 3x = 40 + -4x

Solving
-18 + 3x = 40 + -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.
-18 + 3x + 4x = 40 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-18 + 7x = 40 + -4x + 4x

Combine like terms: -4x + 4x = 0
-18 + 7x = 40 + 0
-18 + 7x = 40

Add '18' to each side of the equation.
-18 + 18 + 7x = 40 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = 40 + 18
7x = 40 + 18

Combine like terms: 40 + 18 = 58
7x = 58

Divide each side by '7'.
x = 8.285714286

Simplifying
x = 8.285714286

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