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

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


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

Reorder the terms:
3 + 6(-3 + x) = 8 + -2(x + -4)
3 + (-3 * 6 + x * 6) = 8 + -2(x + -4)
3 + (-18 + 6x) = 8 + -2(x + -4)

Combine like terms: 3 + -18 = -15
-15 + 6x = 8 + -2(x + -4)

Reorder the terms:
-15 + 6x = 8 + -2(-4 + x)
-15 + 6x = 8 + (-4 * -2 + x * -2)
-15 + 6x = 8 + (8 + -2x)

Combine like terms: 8 + 8 = 16
-15 + 6x = 16 + -2x

Solving
-15 + 6x = 16 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-15 + 6x + 2x = 16 + -2x + 2x

Combine like terms: 6x + 2x = 8x
-15 + 8x = 16 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 8x = 16 + 0
-15 + 8x = 16

Add '15' to each side of the equation.
-15 + 15 + 8x = 16 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = 16 + 15
8x = 16 + 15

Combine like terms: 16 + 15 = 31
8x = 31

Divide each side by '8'.
x = 3.875

Simplifying
x = 3.875

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