10[d+5]=7[d+2]

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Solution for 10[d+5]=7[d+2] equation:


Simplifying
10[d + 5] = 7[d + 2]

Reorder the terms:
10[5 + d] = 7[d + 2]
[5 * 10 + d * 10] = 7[d + 2]
[50 + 10d] = 7[d + 2]

Reorder the terms:
50 + 10d = 7[2 + d]
50 + 10d = [2 * 7 + d * 7]
50 + 10d = [14 + 7d]

Solving
50 + 10d = 14 + 7d

Solving for variable 'd'.

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

Add '-7d' to each side of the equation.
50 + 10d + -7d = 14 + 7d + -7d

Combine like terms: 10d + -7d = 3d
50 + 3d = 14 + 7d + -7d

Combine like terms: 7d + -7d = 0
50 + 3d = 14 + 0
50 + 3d = 14

Add '-50' to each side of the equation.
50 + -50 + 3d = 14 + -50

Combine like terms: 50 + -50 = 0
0 + 3d = 14 + -50
3d = 14 + -50

Combine like terms: 14 + -50 = -36
3d = -36

Divide each side by '3'.
d = -12

Simplifying
d = -12

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