5+5(x-3)+2-2(4x-5)=-1

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Solution for 5+5(x-3)+2-2(4x-5)=-1 equation: 


Simplifying
5 + 5(x + -3) + 2 + -2(4x + -5) = -1

Reorder the terms:
5 + 5(-3 + x) + 2 + -2(4x + -5) = -1
5 + (-3 * 5 + x * 5) + 2 + -2(4x + -5) = -1
5 + (-15 + 5x) + 2 + -2(4x + -5) = -1

Reorder the terms:
5 + -15 + 5x + 2 + -2(-5 + 4x) = -1
5 + -15 + 5x + 2 + (-5 * -2 + 4x * -2) = -1
5 + -15 + 5x + 2 + (10 + -8x) = -1

Reorder the terms:
5 + -15 + 2 + 10 + 5x + -8x = -1

Combine like terms: 5 + -15 = -10
-10 + 2 + 10 + 5x + -8x = -1

Combine like terms: -10 + 2 = -8
-8 + 10 + 5x + -8x = -1

Combine like terms: -8 + 10 = 2
2 + 5x + -8x = -1

Combine like terms: 5x + -8x = -3x
2 + -3x = -1

Solving
2 + -3x = -1

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + -3x = -1 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = -1 + -2
-3x = -1 + -2

Combine like terms: -1 + -2 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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