2(a-3)+5a=3a+10

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Solution for 2(a-3)+5a=3a+10 equation:


Simplifying
2(a + -3) + 5a = 3a + 10

Reorder the terms:
2(-3 + a) + 5a = 3a + 10
(-3 * 2 + a * 2) + 5a = 3a + 10
(-6 + 2a) + 5a = 3a + 10

Combine like terms: 2a + 5a = 7a
-6 + 7a = 3a + 10

Reorder the terms:
-6 + 7a = 10 + 3a

Solving
-6 + 7a = 10 + 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.
-6 + 7a + -3a = 10 + 3a + -3a

Combine like terms: 7a + -3a = 4a
-6 + 4a = 10 + 3a + -3a

Combine like terms: 3a + -3a = 0
-6 + 4a = 10 + 0
-6 + 4a = 10

Add '6' to each side of the equation.
-6 + 6 + 4a = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4a = 10 + 6
4a = 10 + 6

Combine like terms: 10 + 6 = 16
4a = 16

Divide each side by '4'.
a = 4

Simplifying
a = 4

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