2(6w-5)-4(2w-7)=26

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Solution for 2(6w-5)-4(2w-7)=26 equation:


Simplifying
2(6w + -5) + -4(2w + -7) = 26

Reorder the terms:
2(-5 + 6w) + -4(2w + -7) = 26
(-5 * 2 + 6w * 2) + -4(2w + -7) = 26
(-10 + 12w) + -4(2w + -7) = 26

Reorder the terms:
-10 + 12w + -4(-7 + 2w) = 26
-10 + 12w + (-7 * -4 + 2w * -4) = 26
-10 + 12w + (28 + -8w) = 26

Reorder the terms:
-10 + 28 + 12w + -8w = 26

Combine like terms: -10 + 28 = 18
18 + 12w + -8w = 26

Combine like terms: 12w + -8w = 4w
18 + 4w = 26

Solving
18 + 4w = 26

Solving for variable 'w'.

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

Add '-18' to each side of the equation.
18 + -18 + 4w = 26 + -18

Combine like terms: 18 + -18 = 0
0 + 4w = 26 + -18
4w = 26 + -18

Combine like terms: 26 + -18 = 8
4w = 8

Divide each side by '4'.
w = 2

Simplifying
w = 2

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