4(x-1)+13=x-3(x+1)

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Solution for 4(x-1)+13=x-3(x+1) equation: 


Simplifying
4(x + -1) + 13 = x + -3(x + 1)

Reorder the terms:
4(-1 + x) + 13 = x + -3(x + 1)
(-1 * 4 + x * 4) + 13 = x + -3(x + 1)
(-4 + 4x) + 13 = x + -3(x + 1)

Reorder the terms:
-4 + 13 + 4x = x + -3(x + 1)

Combine like terms: -4 + 13 = 9
9 + 4x = x + -3(x + 1)

Reorder the terms:
9 + 4x = x + -3(1 + x)
9 + 4x = x + (1 * -3 + x * -3)
9 + 4x = x + (-3 + -3x)

Reorder the terms:
9 + 4x = -3 + x + -3x

Combine like terms: x + -3x = -2x
9 + 4x = -3 + -2x

Solving
9 + 4x = -3 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
9 + 4x + 2x = -3 + -2x + 2x

Combine like terms: 4x + 2x = 6x
9 + 6x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 6x = -3 + 0
9 + 6x = -3

Add '-9' to each side of the equation.
9 + -9 + 6x = -3 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = -3 + -9
6x = -3 + -9

Combine like terms: -3 + -9 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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