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

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


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

Reorder the terms:
-3(5 + w) + 2 = 4(w + 2)
(5 * -3 + w * -3) + 2 = 4(w + 2)
(-15 + -3w) + 2 = 4(w + 2)

Reorder the terms:
-15 + 2 + -3w = 4(w + 2)

Combine like terms: -15 + 2 = -13
-13 + -3w = 4(w + 2)

Reorder the terms:
-13 + -3w = 4(2 + w)
-13 + -3w = (2 * 4 + w * 4)
-13 + -3w = (8 + 4w)

Solving
-13 + -3w = 8 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-13 + -3w + -4w = 8 + 4w + -4w

Combine like terms: -3w + -4w = -7w
-13 + -7w = 8 + 4w + -4w

Combine like terms: 4w + -4w = 0
-13 + -7w = 8 + 0
-13 + -7w = 8

Add '13' to each side of the equation.
-13 + 13 + -7w = 8 + 13

Combine like terms: -13 + 13 = 0
0 + -7w = 8 + 13
-7w = 8 + 13

Combine like terms: 8 + 13 = 21
-7w = 21

Divide each side by '-7'.
w = -3

Simplifying
w = -3

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