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

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


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

Reorder the terms:
-3 + 2x = 6 + 8(2 + -1x)
-3 + 2x = 6 + (2 * 8 + -1x * 8)
-3 + 2x = 6 + (16 + -8x)

Combine like terms: 6 + 16 = 22
-3 + 2x = 22 + -8x

Solving
-3 + 2x = 22 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-3 + 2x + 8x = 22 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-3 + 10x = 22 + -8x + 8x

Combine like terms: -8x + 8x = 0
-3 + 10x = 22 + 0
-3 + 10x = 22

Add '3' to each side of the equation.
-3 + 3 + 10x = 22 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 22 + 3
10x = 22 + 3

Combine like terms: 22 + 3 = 25
10x = 25

Divide each side by '10'.
x = 2.5

Simplifying
x = 2.5

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