6+2(4x-6)=7-4(2x+1)

Solution for 6+2(4x-6)=7-4(2x+1) equation:

Simplifying
6 + 2(4x + -6) = 7 + -4(2x + 1)

Reorder the terms:
6 + 2(-6 + 4x) = 7 + -4(2x + 1)
6 + (-6 * 2 + 4x * 2) = 7 + -4(2x + 1)
6 + (-12 + 8x) = 7 + -4(2x + 1)

Combine like terms: 6 + -12 = -6
-6 + 8x = 7 + -4(2x + 1)

Reorder the terms:
-6 + 8x = 7 + -4(1 + 2x)
-6 + 8x = 7 + (1 * -4 + 2x * -4)
-6 + 8x = 7 + (-4 + -8x)

Combine like terms: 7 + -4 = 3
-6 + 8x = 3 + -8x

Solving
-6 + 8x = 3 + -8x

Solving for variable 'x'.

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

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

Combine like terms: 8x + 8x = 16x
-6 + 16x = 3 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 16x = 3 + 0
-6 + 16x = 3

Add '6' to each side of the equation.
-6 + 6 + 16x = 3 + 6

Combine like terms: -6 + 6 = 0
0 + 16x = 3 + 6
16x = 3 + 6

Combine like terms: 3 + 6 = 9
16x = 9

Divide each side by '16'.
x = 0.5625

Simplifying
x = 0.5625