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

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


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

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

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

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

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

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

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

Solving
3 + -1x = -1 + x

Solving for variable 'x'.

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

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

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

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

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

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

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

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

Simplifying
x = 2

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