7(a-5)+16=2(a-7)

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Solution for 7(a-5)+16=2(a-7) equation:


Simplifying
7(a + -5) + 16 = 2(a + -7)

Reorder the terms:
7(-5 + a) + 16 = 2(a + -7)
(-5 * 7 + a * 7) + 16 = 2(a + -7)
(-35 + 7a) + 16 = 2(a + -7)

Reorder the terms:
-35 + 16 + 7a = 2(a + -7)

Combine like terms: -35 + 16 = -19
-19 + 7a = 2(a + -7)

Reorder the terms:
-19 + 7a = 2(-7 + a)
-19 + 7a = (-7 * 2 + a * 2)
-19 + 7a = (-14 + 2a)

Solving
-19 + 7a = -14 + 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.
-19 + 7a + -2a = -14 + 2a + -2a

Combine like terms: 7a + -2a = 5a
-19 + 5a = -14 + 2a + -2a

Combine like terms: 2a + -2a = 0
-19 + 5a = -14 + 0
-19 + 5a = -14

Add '19' to each side of the equation.
-19 + 19 + 5a = -14 + 19

Combine like terms: -19 + 19 = 0
0 + 5a = -14 + 19
5a = -14 + 19

Combine like terms: -14 + 19 = 5
5a = 5

Divide each side by '5'.
a = 1

Simplifying
a = 1

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