8(x-1)+36=-3(2x+5)

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Solution for 8(x-1)+36=-3(2x+5) equation:


Simplifying
8(x + -1) + 36 = -3(2x + 5)

Reorder the terms:
8(-1 + x) + 36 = -3(2x + 5)
(-1 * 8 + x * 8) + 36 = -3(2x + 5)
(-8 + 8x) + 36 = -3(2x + 5)

Reorder the terms:
-8 + 36 + 8x = -3(2x + 5)

Combine like terms: -8 + 36 = 28
28 + 8x = -3(2x + 5)

Reorder the terms:
28 + 8x = -3(5 + 2x)
28 + 8x = (5 * -3 + 2x * -3)
28 + 8x = (-15 + -6x)

Solving
28 + 8x = -15 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
28 + 8x + 6x = -15 + -6x + 6x

Combine like terms: 8x + 6x = 14x
28 + 14x = -15 + -6x + 6x

Combine like terms: -6x + 6x = 0
28 + 14x = -15 + 0
28 + 14x = -15

Add '-28' to each side of the equation.
28 + -28 + 14x = -15 + -28

Combine like terms: 28 + -28 = 0
0 + 14x = -15 + -28
14x = -15 + -28

Combine like terms: -15 + -28 = -43
14x = -43

Divide each side by '14'.
x = -3.071428571

Simplifying
x = -3.071428571

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