3(x+2)+4=5(w-1)+w

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Solution for 3(x+2)+4=5(w-1)+w equation:


Simplifying
3(x + 2) + 4 = 5(w + -1) + w

Reorder the terms:
3(2 + x) + 4 = 5(w + -1) + w
(2 * 3 + x * 3) + 4 = 5(w + -1) + w
(6 + 3x) + 4 = 5(w + -1) + w

Reorder the terms:
6 + 4 + 3x = 5(w + -1) + w

Combine like terms: 6 + 4 = 10
10 + 3x = 5(w + -1) + w

Reorder the terms:
10 + 3x = 5(-1 + w) + w
10 + 3x = (-1 * 5 + w * 5) + w
10 + 3x = (-5 + 5w) + w

Combine like terms: 5w + w = 6w
10 + 3x = -5 + 6w

Solving
10 + 3x = -5 + 6w

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 3x = -5 + -10 + 6w

Combine like terms: 10 + -10 = 0
0 + 3x = -5 + -10 + 6w
3x = -5 + -10 + 6w

Combine like terms: -5 + -10 = -15
3x = -15 + 6w

Divide each side by '3'.
x = -5 + 2w

Simplifying
x = -5 + 2w

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