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

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


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

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

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

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

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

Multiply -3 * -2
-3 + 4x = x + 6

Reorder the terms:
-3 + 4x = 6 + x

Solving
-3 + 4x = 6 + 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 + 4x + -1x = 6 + x + -1x

Combine like terms: 4x + -1x = 3x
-3 + 3x = 6 + x + -1x

Combine like terms: x + -1x = 0
-3 + 3x = 6 + 0
-3 + 3x = 6

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

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

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

Divide each side by '3'.
x = 3

Simplifying
x = 3

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