8x-5=3(2-x)

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


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

Reorder the terms:
-5 + 8x = 3(2 + -1x)
-5 + 8x = (2 * 3 + -1x * 3)
-5 + 8x = (6 + -3x)

Solving
-5 + 8x = 6 + -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.
-5 + 8x + 3x = 6 + -3x + 3x

Combine like terms: 8x + 3x = 11x
-5 + 11x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 11x = 6 + 0
-5 + 11x = 6

Add '5' to each side of the equation.
-5 + 5 + 11x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = 6 + 5
11x = 6 + 5

Combine like terms: 6 + 5 = 11
11x = 11

Divide each side by '11'.
x = 1

Simplifying
x = 1

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