7(a-5)+20=2(a-5)

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Solution for 7(a-5)+20=2(a-5) equation:


Simplifying
7(a + -5) + 20 = 2(a + -5)

Reorder the terms:
7(-5 + a) + 20 = 2(a + -5)
(-5 * 7 + a * 7) + 20 = 2(a + -5)
(-35 + 7a) + 20 = 2(a + -5)

Reorder the terms:
-35 + 20 + 7a = 2(a + -5)

Combine like terms: -35 + 20 = -15
-15 + 7a = 2(a + -5)

Reorder the terms:
-15 + 7a = 2(-5 + a)
-15 + 7a = (-5 * 2 + a * 2)
-15 + 7a = (-10 + 2a)

Solving
-15 + 7a = -10 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-15 + 7a + -2a = -10 + 2a + -2a

Combine like terms: 7a + -2a = 5a
-15 + 5a = -10 + 2a + -2a

Combine like terms: 2a + -2a = 0
-15 + 5a = -10 + 0
-15 + 5a = -10

Add '15' to each side of the equation.
-15 + 15 + 5a = -10 + 15

Combine like terms: -15 + 15 = 0
0 + 5a = -10 + 15
5a = -10 + 15

Combine like terms: -10 + 15 = 5
5a = 5

Divide each side by '5'.
a = 1

Simplifying
a = 1

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