3(40+d)=4(37-d)

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Solution for 3(40+d)=4(37-d) equation:


Simplifying
3(40 + d) = 4(37 + -1d)
(40 * 3 + d * 3) = 4(37 + -1d)
(120 + 3d) = 4(37 + -1d)
120 + 3d = (37 * 4 + -1d * 4)
120 + 3d = (148 + -4d)

Solving
120 + 3d = 148 + -4d

Solving for variable 'd'.

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

Add '4d' to each side of the equation.
120 + 3d + 4d = 148 + -4d + 4d

Combine like terms: 3d + 4d = 7d
120 + 7d = 148 + -4d + 4d

Combine like terms: -4d + 4d = 0
120 + 7d = 148 + 0
120 + 7d = 148

Add '-120' to each side of the equation.
120 + -120 + 7d = 148 + -120

Combine like terms: 120 + -120 = 0
0 + 7d = 148 + -120
7d = 148 + -120

Combine like terms: 148 + -120 = 28
7d = 28

Divide each side by '7'.
d = 4

Simplifying
d = 4

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