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

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


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

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

Reorder the terms:
42 + -7a = 7(-4 + a)
42 + -7a = (-4 * 7 + a * 7)
42 + -7a = (-28 + 7a)

Solving
42 + -7a = -28 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
42 + -7a + -7a = -28 + 7a + -7a

Combine like terms: -7a + -7a = -14a
42 + -14a = -28 + 7a + -7a

Combine like terms: 7a + -7a = 0
42 + -14a = -28 + 0
42 + -14a = -28

Add '-42' to each side of the equation.
42 + -42 + -14a = -28 + -42

Combine like terms: 42 + -42 = 0
0 + -14a = -28 + -42
-14a = -28 + -42

Combine like terms: -28 + -42 = -70
-14a = -70

Divide each side by '-14'.
a = 5

Simplifying
a = 5

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