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

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


Simplifying
8x + 2 + -3x = 3(-1x + 6)

Reorder the terms:
2 + 8x + -3x = 3(-1x + 6)

Combine like terms: 8x + -3x = 5x
2 + 5x = 3(-1x + 6)

Reorder the terms:
2 + 5x = 3(6 + -1x)
2 + 5x = (6 * 3 + -1x * 3)
2 + 5x = (18 + -3x)

Solving
2 + 5x = 18 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
2 + 5x + 3x = 18 + -3x + 3x

Combine like terms: 5x + 3x = 8x
2 + 8x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 8x = 18 + 0
2 + 8x = 18

Add '-2' to each side of the equation.
2 + -2 + 8x = 18 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 18 + -2
8x = 18 + -2

Combine like terms: 18 + -2 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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