2(3h-4)=3(h+1)-5

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


Simplifying
2(3h + -4) = 3(h + 1) + -5

Reorder the terms:
2(-4 + 3h) = 3(h + 1) + -5
(-4 * 2 + 3h * 2) = 3(h + 1) + -5
(-8 + 6h) = 3(h + 1) + -5

Reorder the terms:
-8 + 6h = 3(1 + h) + -5
-8 + 6h = (1 * 3 + h * 3) + -5
-8 + 6h = (3 + 3h) + -5

Reorder the terms:
-8 + 6h = 3 + -5 + 3h

Combine like terms: 3 + -5 = -2
-8 + 6h = -2 + 3h

Solving
-8 + 6h = -2 + 3h

Solving for variable 'h'.

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

Add '-3h' to each side of the equation.
-8 + 6h + -3h = -2 + 3h + -3h

Combine like terms: 6h + -3h = 3h
-8 + 3h = -2 + 3h + -3h

Combine like terms: 3h + -3h = 0
-8 + 3h = -2 + 0
-8 + 3h = -2

Add '8' to each side of the equation.
-8 + 8 + 3h = -2 + 8

Combine like terms: -8 + 8 = 0
0 + 3h = -2 + 8
3h = -2 + 8

Combine like terms: -2 + 8 = 6
3h = 6

Divide each side by '3'.
h = 2

Simplifying
h = 2

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