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

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

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

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

Combine like terms: 6 + -12 = -6
-6 + -6x = x + 1

Reorder the terms:
-6 + -6x = 1 + x

Solving
-6 + -6x = 1 + x

Solving for variable 'x'.

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

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

Combine like terms: -6x + -1x = -7x
-6 + -7x = 1 + x + -1x

Combine like terms: x + -1x = 0
-6 + -7x = 1 + 0
-6 + -7x = 1

Add '6' to each side of the equation.
-6 + 6 + -7x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -7x = 1 + 6
-7x = 1 + 6

Combine like terms: 1 + 6 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1