6(x+4)-(x+3)=x-1

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Solution for 6(x+4)-(x+3)=x-1 equation: 


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

Reorder the terms:
6(4 + x) + -1(x + 3) = x + -1
(4 * 6 + x * 6) + -1(x + 3) = x + -1
(24 + 6x) + -1(x + 3) = x + -1

Reorder the terms:
24 + 6x + -1(3 + x) = x + -1
24 + 6x + (3 * -1 + x * -1) = x + -1
24 + 6x + (-3 + -1x) = x + -1

Reorder the terms:
24 + -3 + 6x + -1x = x + -1

Combine like terms: 24 + -3 = 21
21 + 6x + -1x = x + -1

Combine like terms: 6x + -1x = 5x
21 + 5x = x + -1

Reorder the terms:
21 + 5x = -1 + x

Solving
21 + 5x = -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.
21 + 5x + -1x = -1 + x + -1x

Combine like terms: 5x + -1x = 4x
21 + 4x = -1 + x + -1x

Combine like terms: x + -1x = 0
21 + 4x = -1 + 0
21 + 4x = -1

Add '-21' to each side of the equation.
21 + -21 + 4x = -1 + -21

Combine like terms: 21 + -21 = 0
0 + 4x = -1 + -21
4x = -1 + -21

Combine like terms: -1 + -21 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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