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

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


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

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

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

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

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

Solving
-1 + -1x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + -1x + -4x = -4 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-1 + -5x = -4 + 0
-1 + -5x = -4

Add '1' to each side of the equation.
-1 + 1 + -5x = -4 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = -4 + 1
-5x = -4 + 1

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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