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

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


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

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

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

Reorder the terms:
2 + -2x = 8(6 + -2x)
2 + -2x = (6 * 8 + -2x * 8)
2 + -2x = (48 + -16x)

Solving
2 + -2x = 48 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
2 + -2x + 16x = 48 + -16x + 16x

Combine like terms: -2x + 16x = 14x
2 + 14x = 48 + -16x + 16x

Combine like terms: -16x + 16x = 0
2 + 14x = 48 + 0
2 + 14x = 48

Add '-2' to each side of the equation.
2 + -2 + 14x = 48 + -2

Combine like terms: 2 + -2 = 0
0 + 14x = 48 + -2
14x = 48 + -2

Combine like terms: 48 + -2 = 46
14x = 46

Divide each side by '14'.
x = 3.285714286

Simplifying
x = 3.285714286

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