-3+4x-1(1+3x)=1-2x+4

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Solution for -3+4x-1(1+3x)=1-2x+4 equation:


Simplifying
-3 + 4x + -1(1 + 3x) = 1 + -2x + 4
-3 + 4x + (1 * -1 + 3x * -1) = 1 + -2x + 4
-3 + 4x + (-1 + -3x) = 1 + -2x + 4

Reorder the terms:
-3 + -1 + 4x + -3x = 1 + -2x + 4

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

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

Reorder the terms:
-4 + 1x = 1 + 4 + -2x

Combine like terms: 1 + 4 = 5
-4 + 1x = 5 + -2x

Solving
-4 + 1x = 5 + -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.
-4 + 1x + 2x = 5 + -2x + 2x

Combine like terms: 1x + 2x = 3x
-4 + 3x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 3x = 5 + 0
-4 + 3x = 5

Add '4' to each side of the equation.
-4 + 4 + 3x = 5 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 5 + 4
3x = 5 + 4

Combine like terms: 5 + 4 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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