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

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


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

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

Reorder the terms:
2[3 + x + -3x] = 4x + 3

Combine like terms: x + -3x = -2x
2[3 + -2x] = 4x + 3
[3 * 2 + -2x * 2] = 4x + 3
[6 + -4x] = 4x + 3

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

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

Combine like terms: -4x + -4x = -8x
6 + -8x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
6 + -8x = 3 + 0
6 + -8x = 3

Add '-6' to each side of the equation.
6 + -6 + -8x = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 3 + -6
-8x = 3 + -6

Combine like terms: 3 + -6 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

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