7(a-7)+36=2(a-4)

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Solution for 7(a-7)+36=2(a-4) equation:


Simplifying
7(a + -7) + 36 = 2(a + -4)

Reorder the terms:
7(-7 + a) + 36 = 2(a + -4)
(-7 * 7 + a * 7) + 36 = 2(a + -4)
(-49 + 7a) + 36 = 2(a + -4)

Reorder the terms:
-49 + 36 + 7a = 2(a + -4)

Combine like terms: -49 + 36 = -13
-13 + 7a = 2(a + -4)

Reorder the terms:
-13 + 7a = 2(-4 + a)
-13 + 7a = (-4 * 2 + a * 2)
-13 + 7a = (-8 + 2a)

Solving
-13 + 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.
-13 + 7a + -2a = -8 + 2a + -2a

Combine like terms: 7a + -2a = 5a
-13 + 5a = -8 + 2a + -2a

Combine like terms: 2a + -2a = 0
-13 + 5a = -8 + 0
-13 + 5a = -8

Add '13' to each side of the equation.
-13 + 13 + 5a = -8 + 13

Combine like terms: -13 + 13 = 0
0 + 5a = -8 + 13
5a = -8 + 13

Combine like terms: -8 + 13 = 5
5a = 5

Divide each side by '5'.
a = 1

Simplifying
a = 1

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