h(5-2)+3h-4=5(h-1)+6

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Solution for h(5-2)+3h-4=5(h-1)+6 equation:


Simplifying
h(5 + -2) + 3h + -4 = 5(h + -1) + 6

Combine like terms: 5 + -2 = 3
h(3) + 3h + -4 = 5(h + -1) + 6

Reorder the terms for easier multiplication:
3h + 3h + -4 = 5(h + -1) + 6

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

Combine like terms: 3h + 3h = 6h
-4 + 6h = 5(h + -1) + 6

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

Reorder the terms:
-4 + 6h = -5 + 6 + 5h

Combine like terms: -5 + 6 = 1
-4 + 6h = 1 + 5h

Solving
-4 + 6h = 1 + 5h

Solving for variable 'h'.

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

Add '-5h' to each side of the equation.
-4 + 6h + -5h = 1 + 5h + -5h

Combine like terms: 6h + -5h = 1h
-4 + 1h = 1 + 5h + -5h

Combine like terms: 5h + -5h = 0
-4 + 1h = 1 + 0
-4 + 1h = 1

Add '4' to each side of the equation.
-4 + 4 + 1h = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 1h = 1 + 4
1h = 1 + 4

Combine like terms: 1 + 4 = 5
1h = 5

Divide each side by '1'.
h = 5

Simplifying
h = 5

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