8(-2x+1)=-15(x+1)

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Solution for 8(-2x+1)=-15(x+1) equation: 


Simplifying
8(-2x + 1) = -15(x + 1)

Reorder the terms:
8(1 + -2x) = -15(x + 1)
(1 * 8 + -2x * 8) = -15(x + 1)
(8 + -16x) = -15(x + 1)

Reorder the terms:
8 + -16x = -15(1 + x)
8 + -16x = (1 * -15 + x * -15)
8 + -16x = (-15 + -15x)

Solving
8 + -16x = -15 + -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.
8 + -16x + 15x = -15 + -15x + 15x

Combine like terms: -16x + 15x = -1x
8 + -1x = -15 + -15x + 15x

Combine like terms: -15x + 15x = 0
8 + -1x = -15 + 0
8 + -1x = -15

Add '-8' to each side of the equation.
8 + -8 + -1x = -15 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -15 + -8
-1x = -15 + -8

Combine like terms: -15 + -8 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23

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