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

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


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

Reorder the terms:
8(-3 + x) = -2x + 6
(-3 * 8 + x * 8) = -2x + 6
(-24 + 8x) = -2x + 6

Reorder the terms:
-24 + 8x = 6 + -2x

Solving
-24 + 8x = 6 + -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.
-24 + 8x + 2x = 6 + -2x + 2x

Combine like terms: 8x + 2x = 10x
-24 + 10x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-24 + 10x = 6 + 0
-24 + 10x = 6

Add '24' to each side of the equation.
-24 + 24 + 10x = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = 6 + 24
10x = 6 + 24

Combine like terms: 6 + 24 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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