4a-40=7a-100

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Solution for 4a-40=7a-100 equation:


Simplifying
4a + -40 = 7a + -100

Reorder the terms:
-40 + 4a = 7a + -100

Reorder the terms:
-40 + 4a = -100 + 7a

Solving
-40 + 4a = -100 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
-40 + 4a + -7a = -100 + 7a + -7a

Combine like terms: 4a + -7a = -3a
-40 + -3a = -100 + 7a + -7a

Combine like terms: 7a + -7a = 0
-40 + -3a = -100 + 0
-40 + -3a = -100

Add '40' to each side of the equation.
-40 + 40 + -3a = -100 + 40

Combine like terms: -40 + 40 = 0
0 + -3a = -100 + 40
-3a = -100 + 40

Combine like terms: -100 + 40 = -60
-3a = -60

Divide each side by '-3'.
a = 20

Simplifying
a = 20

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