5(d-45)=4(d-30)+10

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Solution for 5(d-45)=4(d-30)+10 equation: 


Simplifying
5(d + -45) = 4(d + -30) + 10

Reorder the terms:
5(-45 + d) = 4(d + -30) + 10
(-45 * 5 + d * 5) = 4(d + -30) + 10
(-225 + 5d) = 4(d + -30) + 10

Reorder the terms:
-225 + 5d = 4(-30 + d) + 10
-225 + 5d = (-30 * 4 + d * 4) + 10
-225 + 5d = (-120 + 4d) + 10

Reorder the terms:
-225 + 5d = -120 + 10 + 4d

Combine like terms: -120 + 10 = -110
-225 + 5d = -110 + 4d

Solving
-225 + 5d = -110 + 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.
-225 + 5d + -4d = -110 + 4d + -4d

Combine like terms: 5d + -4d = 1d
-225 + 1d = -110 + 4d + -4d

Combine like terms: 4d + -4d = 0
-225 + 1d = -110 + 0
-225 + 1d = -110

Add '225' to each side of the equation.
-225 + 225 + 1d = -110 + 225

Combine like terms: -225 + 225 = 0
0 + 1d = -110 + 225
1d = -110 + 225

Combine like terms: -110 + 225 = 115
1d = 115

Divide each side by '1'.
d = 115

Simplifying
d = 115

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