2(3d-4)+10=5d+7

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Solution for 2(3d-4)+10=5d+7 equation: 


Simplifying
2(3d + -4) + 10 = 5d + 7

Reorder the terms:
2(-4 + 3d) + 10 = 5d + 7
(-4 * 2 + 3d * 2) + 10 = 5d + 7
(-8 + 6d) + 10 = 5d + 7

Reorder the terms:
-8 + 10 + 6d = 5d + 7

Combine like terms: -8 + 10 = 2
2 + 6d = 5d + 7

Reorder the terms:
2 + 6d = 7 + 5d

Solving
2 + 6d = 7 + 5d

Solving for variable 'd'.

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

Add '-5d' to each side of the equation.
2 + 6d + -5d = 7 + 5d + -5d

Combine like terms: 6d + -5d = 1d
2 + 1d = 7 + 5d + -5d

Combine like terms: 5d + -5d = 0
2 + 1d = 7 + 0
2 + 1d = 7

Add '-2' to each side of the equation.
2 + -2 + 1d = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 1d = 7 + -2
1d = 7 + -2

Combine like terms: 7 + -2 = 5
1d = 5

Divide each side by '1'.
d = 5

Simplifying
d = 5

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