8(x-3)=-2(5-x)

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Solution for 8(x-3)=-2(5-x) equation:


Simplifying
8(x + -3) = -2(5 + -1x)

Reorder the terms:
8(-3 + x) = -2(5 + -1x)
(-3 * 8 + x * 8) = -2(5 + -1x)
(-24 + 8x) = -2(5 + -1x)
-24 + 8x = (5 * -2 + -1x * -2)
-24 + 8x = (-10 + 2x)

Solving
-24 + 8x = -10 + 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 = -10 + 2x + -2x

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

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

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

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

Combine like terms: -10 + 24 = 14
6x = 14

Divide each side by '6'.
x = 2.333333333

Simplifying
x = 2.333333333

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