8(3x-17)=7(15+6x)

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Solution for 8(3x-17)=7(15+6x) equation:


Simplifying
8(3x + -17) = 7(15 + 6x)

Reorder the terms:
8(-17 + 3x) = 7(15 + 6x)
(-17 * 8 + 3x * 8) = 7(15 + 6x)
(-136 + 24x) = 7(15 + 6x)
-136 + 24x = (15 * 7 + 6x * 7)
-136 + 24x = (105 + 42x)

Solving
-136 + 24x = 105 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
-136 + 24x + -42x = 105 + 42x + -42x

Combine like terms: 24x + -42x = -18x
-136 + -18x = 105 + 42x + -42x

Combine like terms: 42x + -42x = 0
-136 + -18x = 105 + 0
-136 + -18x = 105

Add '136' to each side of the equation.
-136 + 136 + -18x = 105 + 136

Combine like terms: -136 + 136 = 0
0 + -18x = 105 + 136
-18x = 105 + 136

Combine like terms: 105 + 136 = 241
-18x = 241

Divide each side by '-18'.
x = -13.38888889

Simplifying
x = -13.38888889

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