4(2x+1)-6(x-1)=3(x+2)

Solution for 4(2x+1)-6(x-1)=3(x+2) equation:

Simplifying
4(2x + 1) + -6(x + -1) = 3(x + 2)

Reorder the terms:
4(1 + 2x) + -6(x + -1) = 3(x + 2)
(1 * 4 + 2x * 4) + -6(x + -1) = 3(x + 2)
(4 + 8x) + -6(x + -1) = 3(x + 2)

Reorder the terms:
4 + 8x + -6(-1 + x) = 3(x + 2)
4 + 8x + (-1 * -6 + x * -6) = 3(x + 2)
4 + 8x + (6 + -6x) = 3(x + 2)

Reorder the terms:
4 + 6 + 8x + -6x = 3(x + 2)

Combine like terms: 4 + 6 = 10
10 + 8x + -6x = 3(x + 2)

Combine like terms: 8x + -6x = 2x
10 + 2x = 3(x + 2)

Reorder the terms:
10 + 2x = 3(2 + x)
10 + 2x = (2 * 3 + x * 3)
10 + 2x = (6 + 3x)

Solving
10 + 2x = 6 + 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 + 2x + -3x = 6 + 3x + -3x

Combine like terms: 2x + -3x = -1x
10 + -1x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -1x = 6 + 0
10 + -1x = 6

Add '-10' to each side of the equation.
10 + -10 + -1x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 6 + -10
-1x = 6 + -10

Combine like terms: 6 + -10 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4