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

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


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

Reorder the terms:
5(4 + x) + -1(x + 3) = x + -1
(4 * 5 + x * 5) + -1(x + 3) = x + -1
(20 + 5x) + -1(x + 3) = x + -1

Reorder the terms:
20 + 5x + -1(3 + x) = x + -1
20 + 5x + (3 * -1 + x * -1) = x + -1
20 + 5x + (-3 + -1x) = x + -1

Reorder the terms:
20 + -3 + 5x + -1x = x + -1

Combine like terms: 20 + -3 = 17
17 + 5x + -1x = x + -1

Combine like terms: 5x + -1x = 4x
17 + 4x = x + -1

Reorder the terms:
17 + 4x = -1 + x

Solving
17 + 4x = -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.
17 + 4x + -1x = -1 + x + -1x

Combine like terms: 4x + -1x = 3x
17 + 3x = -1 + x + -1x

Combine like terms: x + -1x = 0
17 + 3x = -1 + 0
17 + 3x = -1

Add '-17' to each side of the equation.
17 + -17 + 3x = -1 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = -1 + -17
3x = -1 + -17

Combine like terms: -1 + -17 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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