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

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


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

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

Remove parenthesis around (4 + x)
4 + x + -1(5x + 5) = 3x + -5

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

Reorder the terms:
4 + -5 + x + -5x = 3x + -5

Combine like terms: 4 + -5 = -1
-1 + x + -5x = 3x + -5

Combine like terms: x + -5x = -4x
-1 + -4x = 3x + -5

Reorder the terms:
-1 + -4x = -5 + 3x

Solving
-1 + -4x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + -4x + -3x = -5 + 3x + -3x

Combine like terms: -4x + -3x = -7x
-1 + -7x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -7x = -5 + 0
-1 + -7x = -5

Add '1' to each side of the equation.
-1 + 1 + -7x = -5 + 1

Combine like terms: -1 + 1 = 0
0 + -7x = -5 + 1
-7x = -5 + 1

Combine like terms: -5 + 1 = -4
-7x = -4

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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