7w+3=5(6w-11)

Solution for 7w+3=5(6w-11) equation:

Simplifying
7w + 3 = 5(6w + -11)

Reorder the terms:
3 + 7w = 5(6w + -11)

Reorder the terms:
3 + 7w = 5(-11 + 6w)
3 + 7w = (-11 * 5 + 6w * 5)
3 + 7w = (-55 + 30w)

Solving
3 + 7w = -55 + 30w

Solving for variable 'w'.

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

Add '-30w' to each side of the equation.
3 + 7w + -30w = -55 + 30w + -30w

Combine like terms: 7w + -30w = -23w
3 + -23w = -55 + 30w + -30w

Combine like terms: 30w + -30w = 0
3 + -23w = -55 + 0
3 + -23w = -55

Add '-3' to each side of the equation.
3 + -3 + -23w = -55 + -3

Combine like terms: 3 + -3 = 0
0 + -23w = -55 + -3
-23w = -55 + -3

Combine like terms: -55 + -3 = -58
-23w = -58

Divide each side by '-23'.
w = 2.52173913

Simplifying
w = 2.52173913