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

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


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

Reorder the terms:
8(-17 + 3x) = 3(15 + -6x)
(-17 * 8 + 3x * 8) = 3(15 + -6x)
(-136 + 24x) = 3(15 + -6x)
-136 + 24x = (15 * 3 + -6x * 3)
-136 + 24x = (45 + -18x)

Solving
-136 + 24x = 45 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-136 + 24x + 18x = 45 + -18x + 18x

Combine like terms: 24x + 18x = 42x
-136 + 42x = 45 + -18x + 18x

Combine like terms: -18x + 18x = 0
-136 + 42x = 45 + 0
-136 + 42x = 45

Add '136' to each side of the equation.
-136 + 136 + 42x = 45 + 136

Combine like terms: -136 + 136 = 0
0 + 42x = 45 + 136
42x = 45 + 136

Combine like terms: 45 + 136 = 181
42x = 181

Divide each side by '42'.
x = 4.30952381

Simplifying
x = 4.30952381

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