8(4x+7)=3(-5x-1)

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Solution for 8(4x+7)=3(-5x-1) equation:


Simplifying
8(4x + 7) = 3(-5x + -1)

Reorder the terms:
8(7 + 4x) = 3(-5x + -1)
(7 * 8 + 4x * 8) = 3(-5x + -1)
(56 + 32x) = 3(-5x + -1)

Reorder the terms:
56 + 32x = 3(-1 + -5x)
56 + 32x = (-1 * 3 + -5x * 3)
56 + 32x = (-3 + -15x)

Solving
56 + 32x = -3 + -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 + 32x + 15x = -3 + -15x + 15x

Combine like terms: 32x + 15x = 47x
56 + 47x = -3 + -15x + 15x

Combine like terms: -15x + 15x = 0
56 + 47x = -3 + 0
56 + 47x = -3

Add '-56' to each side of the equation.
56 + -56 + 47x = -3 + -56

Combine like terms: 56 + -56 = 0
0 + 47x = -3 + -56
47x = -3 + -56

Combine like terms: -3 + -56 = -59
47x = -59

Divide each side by '47'.
x = -1.255319149

Simplifying
x = -1.255319149

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