40-7a=4(5-3a)

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Solution for 40-7a=4(5-3a) equation:


Simplifying
40 + -7a = 4(5 + -3a)
40 + -7a = (5 * 4 + -3a * 4)
40 + -7a = (20 + -12a)

Solving
40 + -7a = 20 + -12a

Solving for variable 'a'.

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

Add '12a' to each side of the equation.
40 + -7a + 12a = 20 + -12a + 12a

Combine like terms: -7a + 12a = 5a
40 + 5a = 20 + -12a + 12a

Combine like terms: -12a + 12a = 0
40 + 5a = 20 + 0
40 + 5a = 20

Add '-40' to each side of the equation.
40 + -40 + 5a = 20 + -40

Combine like terms: 40 + -40 = 0
0 + 5a = 20 + -40
5a = 20 + -40

Combine like terms: 20 + -40 = -20
5a = -20

Divide each side by '5'.
a = -4

Simplifying
a = -4

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