7(a-7)+15=3(a-6)

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Solution for 7(a-7)+15=3(a-6) equation:


Simplifying
7(a + -7) + 15 = 3(a + -6)

Reorder the terms:
7(-7 + a) + 15 = 3(a + -6)
(-7 * 7 + a * 7) + 15 = 3(a + -6)
(-49 + 7a) + 15 = 3(a + -6)

Reorder the terms:
-49 + 15 + 7a = 3(a + -6)

Combine like terms: -49 + 15 = -34
-34 + 7a = 3(a + -6)

Reorder the terms:
-34 + 7a = 3(-6 + a)
-34 + 7a = (-6 * 3 + a * 3)
-34 + 7a = (-18 + 3a)

Solving
-34 + 7a = -18 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-34 + 7a + -3a = -18 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-34 + 4a = -18 + 3a + -3a

Combine like terms: 3a + -3a = 0
-34 + 4a = -18 + 0
-34 + 4a = -18

Add '34' to each side of the equation.
-34 + 34 + 4a = -18 + 34

Combine like terms: -34 + 34 = 0
0 + 4a = -18 + 34
4a = -18 + 34

Combine like terms: -18 + 34 = 16
4a = 16

Divide each side by '4'.
a = 4

Simplifying
a = 4

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