6+3(x-8)=10-(x-4)

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Solution for 6+3(x-8)=10-(x-4) equation: 


Simplifying
6 + 3(x + -8) = 10 + -1(x + -4)

Reorder the terms:
6 + 3(-8 + x) = 10 + -1(x + -4)
6 + (-8 * 3 + x * 3) = 10 + -1(x + -4)
6 + (-24 + 3x) = 10 + -1(x + -4)

Combine like terms: 6 + -24 = -18
-18 + 3x = 10 + -1(x + -4)

Reorder the terms:
-18 + 3x = 10 + -1(-4 + x)
-18 + 3x = 10 + (-4 * -1 + x * -1)
-18 + 3x = 10 + (4 + -1x)

Combine like terms: 10 + 4 = 14
-18 + 3x = 14 + -1x

Solving
-18 + 3x = 14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-18 + 3x + x = 14 + -1x + x

Combine like terms: 3x + x = 4x
-18 + 4x = 14 + -1x + x

Combine like terms: -1x + x = 0
-18 + 4x = 14 + 0
-18 + 4x = 14

Add '18' to each side of the equation.
-18 + 18 + 4x = 14 + 18

Combine like terms: -18 + 18 = 0
0 + 4x = 14 + 18
4x = 14 + 18

Combine like terms: 14 + 18 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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