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

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


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

Reorder the terms:
3(-5 + 2x) = 8(x + -3)
(-5 * 3 + 2x * 3) = 8(x + -3)
(-15 + 6x) = 8(x + -3)

Reorder the terms:
-15 + 6x = 8(-3 + x)
-15 + 6x = (-3 * 8 + x * 8)
-15 + 6x = (-24 + 8x)

Solving
-15 + 6x = -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.
-15 + 6x + -8x = -24 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-15 + -2x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -2x = -24 + 0
-15 + -2x = -24

Add '15' to each side of the equation.
-15 + 15 + -2x = -24 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = -24 + 15
-2x = -24 + 15

Combine like terms: -24 + 15 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5

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