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

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


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

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

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

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

Reorder the terms:
1 + 2x = 8 + -5 + 4x

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

Solving
1 + 2x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + 2x + -4x = 3 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
1 + -2x = 3 + 0
1 + -2x = 3

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

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

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

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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