6+2(4x-6)=5-3(2x+1)

Solution for 6+2(4x-6)=5-3(2x+1) equation:

Simplifying
6 + 2(4x + -6) = 5 + -3(2x + 1)

Reorder the terms:
6 + 2(-6 + 4x) = 5 + -3(2x + 1)
6 + (-6 * 2 + 4x * 2) = 5 + -3(2x + 1)
6 + (-12 + 8x) = 5 + -3(2x + 1)

Combine like terms: 6 + -12 = -6
-6 + 8x = 5 + -3(2x + 1)

Reorder the terms:
-6 + 8x = 5 + -3(1 + 2x)
-6 + 8x = 5 + (1 * -3 + 2x * -3)
-6 + 8x = 5 + (-3 + -6x)

Combine like terms: 5 + -3 = 2
-6 + 8x = 2 + -6x

Solving
-6 + 8x = 2 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-6 + 8x + 6x = 2 + -6x + 6x

Combine like terms: 8x + 6x = 14x
-6 + 14x = 2 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 14x = 2 + 0
-6 + 14x = 2

Add '6' to each side of the equation.
-6 + 6 + 14x = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = 2 + 6
14x = 2 + 6

Combine like terms: 2 + 6 = 8
14x = 8

Divide each side by '14'.
x = 0.5714285714

Simplifying
x = 0.5714285714