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

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Solution for 7(a-6)+4=2(a-4) equation:


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

Reorder the terms:
7(-6 + a) + 4 = 2(a + -4)
(-6 * 7 + a * 7) + 4 = 2(a + -4)
(-42 + 7a) + 4 = 2(a + -4)

Reorder the terms:
-42 + 4 + 7a = 2(a + -4)

Combine like terms: -42 + 4 = -38
-38 + 7a = 2(a + -4)

Reorder the terms:
-38 + 7a = 2(-4 + a)
-38 + 7a = (-4 * 2 + a * 2)
-38 + 7a = (-8 + 2a)

Solving
-38 + 7a = -8 + 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.
-38 + 7a + -2a = -8 + 2a + -2a

Combine like terms: 7a + -2a = 5a
-38 + 5a = -8 + 2a + -2a

Combine like terms: 2a + -2a = 0
-38 + 5a = -8 + 0
-38 + 5a = -8

Add '38' to each side of the equation.
-38 + 38 + 5a = -8 + 38

Combine like terms: -38 + 38 = 0
0 + 5a = -8 + 38
5a = -8 + 38

Combine like terms: -8 + 38 = 30
5a = 30

Divide each side by '5'.
a = 6

Simplifying
a = 6

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