5(a-7)+6=2(a-7)

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Solution for 5(a-7)+6=2(a-7) equation:


Simplifying
5(a + -7) + 6 = 2(a + -7)

Reorder the terms:
5(-7 + a) + 6 = 2(a + -7)
(-7 * 5 + a * 5) + 6 = 2(a + -7)
(-35 + 5a) + 6 = 2(a + -7)

Reorder the terms:
-35 + 6 + 5a = 2(a + -7)

Combine like terms: -35 + 6 = -29
-29 + 5a = 2(a + -7)

Reorder the terms:
-29 + 5a = 2(-7 + a)
-29 + 5a = (-7 * 2 + a * 2)
-29 + 5a = (-14 + 2a)

Solving
-29 + 5a = -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.
-29 + 5a + -2a = -14 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-29 + 3a = -14 + 2a + -2a

Combine like terms: 2a + -2a = 0
-29 + 3a = -14 + 0
-29 + 3a = -14

Add '29' to each side of the equation.
-29 + 29 + 3a = -14 + 29

Combine like terms: -29 + 29 = 0
0 + 3a = -14 + 29
3a = -14 + 29

Combine like terms: -14 + 29 = 15
3a = 15

Divide each side by '3'.
a = 5

Simplifying
a = 5

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