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

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


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

Reorder the terms:
4(3 + x) + -1(x + -1) = 1
(3 * 4 + x * 4) + -1(x + -1) = 1
(12 + 4x) + -1(x + -1) = 1

Reorder the terms:
12 + 4x + -1(-1 + x) = 1
12 + 4x + (-1 * -1 + x * -1) = 1
12 + 4x + (1 + -1x) = 1

Reorder the terms:
12 + 1 + 4x + -1x = 1

Combine like terms: 12 + 1 = 13
13 + 4x + -1x = 1

Combine like terms: 4x + -1x = 3x
13 + 3x = 1

Solving
13 + 3x = 1

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + 3x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 1 + -13
3x = 1 + -13

Combine like terms: 1 + -13 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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