5(a-4)+5=2(a-6)

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Solution for 5(a-4)+5=2(a-6) equation:


Simplifying
5(a + -4) + 5 = 2(a + -6)

Reorder the terms:
5(-4 + a) + 5 = 2(a + -6)
(-4 * 5 + a * 5) + 5 = 2(a + -6)
(-20 + 5a) + 5 = 2(a + -6)

Reorder the terms:
-20 + 5 + 5a = 2(a + -6)

Combine like terms: -20 + 5 = -15
-15 + 5a = 2(a + -6)

Reorder the terms:
-15 + 5a = 2(-6 + a)
-15 + 5a = (-6 * 2 + a * 2)
-15 + 5a = (-12 + 2a)

Solving
-15 + 5a = -12 + 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 + 5a + -2a = -12 + 2a + -2a

Combine like terms: 5a + -2a = 3a
-15 + 3a = -12 + 2a + -2a

Combine like terms: 2a + -2a = 0
-15 + 3a = -12 + 0
-15 + 3a = -12

Add '15' to each side of the equation.
-15 + 15 + 3a = -12 + 15

Combine like terms: -15 + 15 = 0
0 + 3a = -12 + 15
3a = -12 + 15

Combine like terms: -12 + 15 = 3
3a = 3

Divide each side by '3'.
a = 1

Simplifying
a = 1

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