-5(x+2)+3=-8(x+7)

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Solution for -5(x+2)+3=-8(x+7) equation:


Simplifying
-5(x + 2) + 3 = -8(x + 7)

Reorder the terms:
-5(2 + x) + 3 = -8(x + 7)
(2 * -5 + x * -5) + 3 = -8(x + 7)
(-10 + -5x) + 3 = -8(x + 7)

Reorder the terms:
-10 + 3 + -5x = -8(x + 7)

Combine like terms: -10 + 3 = -7
-7 + -5x = -8(x + 7)

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

Solving
-7 + -5x = -56 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-7 + -5x + 8x = -56 + -8x + 8x

Combine like terms: -5x + 8x = 3x
-7 + 3x = -56 + -8x + 8x

Combine like terms: -8x + 8x = 0
-7 + 3x = -56 + 0
-7 + 3x = -56

Add '7' to each side of the equation.
-7 + 7 + 3x = -56 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = -56 + 7
3x = -56 + 7

Combine like terms: -56 + 7 = -49
3x = -49

Divide each side by '3'.
x = -16.33333333

Simplifying
x = -16.33333333

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