5(w-2)=7w-6

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Solution for 5(w-2)=7w-6 equation:


Simplifying
5(w + -2) = 7w + -6

Reorder the terms:
5(-2 + w) = 7w + -6
(-2 * 5 + w * 5) = 7w + -6
(-10 + 5w) = 7w + -6

Reorder the terms:
-10 + 5w = -6 + 7w

Solving
-10 + 5w = -6 + 7w

Solving for variable 'w'.

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

Add '-7w' to each side of the equation.
-10 + 5w + -7w = -6 + 7w + -7w

Combine like terms: 5w + -7w = -2w
-10 + -2w = -6 + 7w + -7w

Combine like terms: 7w + -7w = 0
-10 + -2w = -6 + 0
-10 + -2w = -6

Add '10' to each side of the equation.
-10 + 10 + -2w = -6 + 10

Combine like terms: -10 + 10 = 0
0 + -2w = -6 + 10
-2w = -6 + 10

Combine like terms: -6 + 10 = 4
-2w = 4

Divide each side by '-2'.
w = -2

Simplifying
w = -2

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