-6+7(4x-15)=49

Solution for -6+7(4x-15)=49 equation:

Simplifying
-6 + 7(4x + -15) = 49

Reorder the terms:
-6 + 7(-15 + 4x) = 49
-6 + (-15 * 7 + 4x * 7) = 49
-6 + (-105 + 28x) = 49

Combine like terms: -6 + -105 = -111
-111 + 28x = 49

Solving
-111 + 28x = 49

Solving for variable 'x'.

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

Add '111' to each side of the equation.
-111 + 111 + 28x = 49 + 111

Combine like terms: -111 + 111 = 0
0 + 28x = 49 + 111
28x = 49 + 111

Combine like terms: 49 + 111 = 160
28x = 160

Divide each side by '28'.
x = 5.714285714

Simplifying
x = 5.714285714