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

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


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

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

Multiply -4 * 3
2 + 4x + -12 = 3(x + -1)

Reorder the terms:
2 + -12 + 4x = 3(x + -1)

Combine like terms: 2 + -12 = -10
-10 + 4x = 3(x + -1)

Reorder the terms:
-10 + 4x = 3(-1 + x)
-10 + 4x = (-1 * 3 + x * 3)
-10 + 4x = (-3 + 3x)

Solving
-10 + 4x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 4x + -3x = -3 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-10 + 1x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 1x = -3 + 0
-10 + 1x = -3

Add '10' to each side of the equation.
-10 + 10 + 1x = -3 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -3 + 10
1x = -3 + 10

Combine like terms: -3 + 10 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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