5(2w-7)=6w+3

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Solution for 5(2w-7)=6w+3 equation:


Simplifying
5(2w + -7) = 6w + 3

Reorder the terms:
5(-7 + 2w) = 6w + 3
(-7 * 5 + 2w * 5) = 6w + 3
(-35 + 10w) = 6w + 3

Reorder the terms:
-35 + 10w = 3 + 6w

Solving
-35 + 10w = 3 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-35 + 10w + -6w = 3 + 6w + -6w

Combine like terms: 10w + -6w = 4w
-35 + 4w = 3 + 6w + -6w

Combine like terms: 6w + -6w = 0
-35 + 4w = 3 + 0
-35 + 4w = 3

Add '35' to each side of the equation.
-35 + 35 + 4w = 3 + 35

Combine like terms: -35 + 35 = 0
0 + 4w = 3 + 35
4w = 3 + 35

Combine like terms: 3 + 35 = 38
4w = 38

Divide each side by '4'.
w = 9.5

Simplifying
w = 9.5

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