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

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


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

Reorder the terms:
5(-8 + -2x) = 8 + -1(5 * 2 + 3) + 2(x + -1)
(-8 * 5 + -2x * 5) = 8 + -1(5 * 2 + 3) + 2(x + -1)
(-40 + -10x) = 8 + -1(5 * 2 + 3) + 2(x + -1)

Multiply 5 * 2
-40 + -10x = 8 + -1(10 + 3) + 2(x + -1)

Combine like terms: 10 + 3 = 13
-40 + -10x = 8 + -1(13) + 2(x + -1)

Multiply -1 * 13
-40 + -10x = 8 + -13 + 2(x + -1)

Reorder the terms:
-40 + -10x = 8 + -13 + 2(-1 + x)
-40 + -10x = 8 + -13 + (-1 * 2 + x * 2)
-40 + -10x = 8 + -13 + (-2 + 2x)

Combine like terms: 8 + -13 = -5
-40 + -10x = -5 + -2 + 2x

Combine like terms: -5 + -2 = -7
-40 + -10x = -7 + 2x

Solving
-40 + -10x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-40 + -10x + -2x = -7 + 2x + -2x

Combine like terms: -10x + -2x = -12x
-40 + -12x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-40 + -12x = -7 + 0
-40 + -12x = -7

Add '40' to each side of the equation.
-40 + 40 + -12x = -7 + 40

Combine like terms: -40 + 40 = 0
0 + -12x = -7 + 40
-12x = -7 + 40

Combine like terms: -7 + 40 = 33
-12x = 33

Divide each side by '-12'.
x = -2.75

Simplifying
x = -2.75

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