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

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


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

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

Combine like terms: 1 + -5 = -4
-4 + -3x = 1x + -1(2x + 8)

Reorder the terms:
-4 + -3x = 1x + -1(8 + 2x)
-4 + -3x = 1x + (8 * -1 + 2x * -1)
-4 + -3x = 1x + (-8 + -2x)

Reorder the terms:
-4 + -3x = -8 + 1x + -2x

Combine like terms: 1x + -2x = -1x
-4 + -3x = -8 + -1x

Solving
-4 + -3x = -8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + -3x + x = -8 + -1x + x

Combine like terms: -3x + x = -2x
-4 + -2x = -8 + -1x + x

Combine like terms: -1x + x = 0
-4 + -2x = -8 + 0
-4 + -2x = -8

Add '4' to each side of the equation.
-4 + 4 + -2x = -8 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -8 + 4
-2x = -8 + 4

Combine like terms: -8 + 4 = -4
-2x = -4

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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