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

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


Simplifying
8(2 + -1x) = 3(5 + -1x)
(2 * 8 + -1x * 8) = 3(5 + -1x)
(16 + -8x) = 3(5 + -1x)
16 + -8x = (5 * 3 + -1x * 3)
16 + -8x = (15 + -3x)

Solving
16 + -8x = 15 + -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.
16 + -8x + 3x = 15 + -3x + 3x

Combine like terms: -8x + 3x = -5x
16 + -5x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + -5x = 15 + 0
16 + -5x = 15

Add '-16' to each side of the equation.
16 + -16 + -5x = 15 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 15 + -16
-5x = 15 + -16

Combine like terms: 15 + -16 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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