24-5(8-3x)=2(8-x)-8x

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Solution for 24-5(8-3x)=2(8-x)-8x equation:


Simplifying
24 + -5(8 + -3x) = 2(8 + -1x) + -8x
24 + (8 * -5 + -3x * -5) = 2(8 + -1x) + -8x
24 + (-40 + 15x) = 2(8 + -1x) + -8x

Combine like terms: 24 + -40 = -16
-16 + 15x = 2(8 + -1x) + -8x
-16 + 15x = (8 * 2 + -1x * 2) + -8x
-16 + 15x = (16 + -2x) + -8x

Combine like terms: -2x + -8x = -10x
-16 + 15x = 16 + -10x

Solving
-16 + 15x = 16 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-16 + 15x + 10x = 16 + -10x + 10x

Combine like terms: 15x + 10x = 25x
-16 + 25x = 16 + -10x + 10x

Combine like terms: -10x + 10x = 0
-16 + 25x = 16 + 0
-16 + 25x = 16

Add '16' to each side of the equation.
-16 + 16 + 25x = 16 + 16

Combine like terms: -16 + 16 = 0
0 + 25x = 16 + 16
25x = 16 + 16

Combine like terms: 16 + 16 = 32
25x = 32

Divide each side by '25'.
x = 1.28

Simplifying
x = 1.28

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