0.5[7-3(6+1)]=x

Solution for 0.5[7-3(6+1)]=x equation:

Simplifying
0.5[7 + -3(6 + 1)] = x

Combine like terms: 6 + 1 = 7
0.5[7 + -3(7)] = x

Multiply -3 * 7
0.5[7 + -21] = x

Combine like terms: 7 + -21 = -14
0.5[-14] = x

Multiply 0.5 * -14
-7 = x

Solving
-7 = 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.
-7 + -1x = x + -1x

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

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

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

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

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

Simplifying
x = -7