8(3x-17)=10(15+6x)

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Solution for 8(3x-17)=10(15+6x) equation: 


Simplifying
8(3x + -17) = 10(15 + 6x)

Reorder the terms:
8(-17 + 3x) = 10(15 + 6x)
(-17 * 8 + 3x * 8) = 10(15 + 6x)
(-136 + 24x) = 10(15 + 6x)
-136 + 24x = (15 * 10 + 6x * 10)
-136 + 24x = (150 + 60x)

Solving
-136 + 24x = 150 + 60x

Solving for variable 'x'.

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

Add '-60x' to each side of the equation.
-136 + 24x + -60x = 150 + 60x + -60x

Combine like terms: 24x + -60x = -36x
-136 + -36x = 150 + 60x + -60x

Combine like terms: 60x + -60x = 0
-136 + -36x = 150 + 0
-136 + -36x = 150

Add '136' to each side of the equation.
-136 + 136 + -36x = 150 + 136

Combine like terms: -136 + 136 = 0
0 + -36x = 150 + 136
-36x = 150 + 136

Combine like terms: 150 + 136 = 286
-36x = 286

Divide each side by '-36'.
x = -7.944444444

Simplifying
x = -7.944444444

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