3+2(h-5)=4(4h+7)-12h

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Solution for 3+2(h-5)=4(4h+7)-12h equation:


Simplifying
3 + 2(h + -5) = 4(4h + 7) + -12h

Reorder the terms:
3 + 2(-5 + h) = 4(4h + 7) + -12h
3 + (-5 * 2 + h * 2) = 4(4h + 7) + -12h
3 + (-10 + 2h) = 4(4h + 7) + -12h

Combine like terms: 3 + -10 = -7
-7 + 2h = 4(4h + 7) + -12h

Reorder the terms:
-7 + 2h = 4(7 + 4h) + -12h
-7 + 2h = (7 * 4 + 4h * 4) + -12h
-7 + 2h = (28 + 16h) + -12h

Combine like terms: 16h + -12h = 4h
-7 + 2h = 28 + 4h

Solving
-7 + 2h = 28 + 4h

Solving for variable 'h'.

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

Add '-4h' to each side of the equation.
-7 + 2h + -4h = 28 + 4h + -4h

Combine like terms: 2h + -4h = -2h
-7 + -2h = 28 + 4h + -4h

Combine like terms: 4h + -4h = 0
-7 + -2h = 28 + 0
-7 + -2h = 28

Add '7' to each side of the equation.
-7 + 7 + -2h = 28 + 7

Combine like terms: -7 + 7 = 0
0 + -2h = 28 + 7
-2h = 28 + 7

Combine like terms: 28 + 7 = 35
-2h = 35

Divide each side by '-2'.
h = -17.5

Simplifying
h = -17.5

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