5a-3(a+6)=2(a-9)

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Solution for 5a-3(a+6)=2(a-9) equation:


Simplifying
5a + -3(a + 6) = 2(a + -9)

Reorder the terms:
5a + -3(6 + a) = 2(a + -9)
5a + (6 * -3 + a * -3) = 2(a + -9)
5a + (-18 + -3a) = 2(a + -9)

Reorder the terms:
-18 + 5a + -3a = 2(a + -9)

Combine like terms: 5a + -3a = 2a
-18 + 2a = 2(a + -9)

Reorder the terms:
-18 + 2a = 2(-9 + a)
-18 + 2a = (-9 * 2 + a * 2)
-18 + 2a = (-18 + 2a)

Add '18' to each side of the equation.
-18 + 18 + 2a = -18 + 18 + 2a

Combine like terms: -18 + 18 = 0
0 + 2a = -18 + 18 + 2a
2a = -18 + 18 + 2a

Combine like terms: -18 + 18 = 0
2a = 0 + 2a
2a = 2a

Add '-2a' to each side of the equation.
2a + -2a = 2a + -2a

Combine like terms: 2a + -2a = 0
0 = 2a + -2a

Combine like terms: 2a + -2a = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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