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

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


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

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

Reorder the terms:
-56 + 1 + -8x = -5(x + 5)

Combine like terms: -56 + 1 = -55
-55 + -8x = -5(x + 5)

Reorder the terms:
-55 + -8x = -5(5 + x)
-55 + -8x = (5 * -5 + x * -5)
-55 + -8x = (-25 + -5x)

Solving
-55 + -8x = -25 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-55 + -8x + 5x = -25 + -5x + 5x

Combine like terms: -8x + 5x = -3x
-55 + -3x = -25 + -5x + 5x

Combine like terms: -5x + 5x = 0
-55 + -3x = -25 + 0
-55 + -3x = -25

Add '55' to each side of the equation.
-55 + 55 + -3x = -25 + 55

Combine like terms: -55 + 55 = 0
0 + -3x = -25 + 55
-3x = -25 + 55

Combine like terms: -25 + 55 = 30
-3x = 30

Divide each side by '-3'.
x = -10

Simplifying
x = -10

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