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

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Solution for 4(a+2)-2a=10+3(a-3) equation:


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

Reorder the terms:
4(2 + a) + -2a = 10 + 3(a + -3)
(2 * 4 + a * 4) + -2a = 10 + 3(a + -3)
(8 + 4a) + -2a = 10 + 3(a + -3)

Combine like terms: 4a + -2a = 2a
8 + 2a = 10 + 3(a + -3)

Reorder the terms:
8 + 2a = 10 + 3(-3 + a)
8 + 2a = 10 + (-3 * 3 + a * 3)
8 + 2a = 10 + (-9 + 3a)

Combine like terms: 10 + -9 = 1
8 + 2a = 1 + 3a

Solving
8 + 2a = 1 + 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.
8 + 2a + -3a = 1 + 3a + -3a

Combine like terms: 2a + -3a = -1a
8 + -1a = 1 + 3a + -3a

Combine like terms: 3a + -3a = 0
8 + -1a = 1 + 0
8 + -1a = 1

Add '-8' to each side of the equation.
8 + -8 + -1a = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -1a = 1 + -8
-1a = 1 + -8

Combine like terms: 1 + -8 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7

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