2x-3=8(x-3)

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


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

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

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

Solving
-3 + 2x = -24 + 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 = -24 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-3 + -6x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -6x = -24 + 0
-3 + -6x = -24

Add '3' to each side of the equation.
-3 + 3 + -6x = -24 + 3

Combine like terms: -3 + 3 = 0
0 + -6x = -24 + 3
-6x = -24 + 3

Combine like terms: -24 + 3 = -21
-6x = -21

Divide each side by '-6'.
x = 3.5

Simplifying
x = 3.5

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