8(x+7)=15x-6

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


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

Reorder the terms:
8(7 + x) = 15x + -6
(7 * 8 + x * 8) = 15x + -6
(56 + 8x) = 15x + -6

Reorder the terms:
56 + 8x = -6 + 15x

Solving
56 + 8x = -6 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
56 + 8x + -15x = -6 + 15x + -15x

Combine like terms: 8x + -15x = -7x
56 + -7x = -6 + 15x + -15x

Combine like terms: 15x + -15x = 0
56 + -7x = -6 + 0
56 + -7x = -6

Add '-56' to each side of the equation.
56 + -56 + -7x = -6 + -56

Combine like terms: 56 + -56 = 0
0 + -7x = -6 + -56
-7x = -6 + -56

Combine like terms: -6 + -56 = -62
-7x = -62

Divide each side by '-7'.
x = 8.857142857

Simplifying
x = 8.857142857

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