3a+4+2a=2(5a-3)

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Solution for 3a+4+2a=2(5a-3) equation:


Simplifying
3a + 4 + 2a = 2(5a + -3)

Reorder the terms:
4 + 3a + 2a = 2(5a + -3)

Combine like terms: 3a + 2a = 5a
4 + 5a = 2(5a + -3)

Reorder the terms:
4 + 5a = 2(-3 + 5a)
4 + 5a = (-3 * 2 + 5a * 2)
4 + 5a = (-6 + 10a)

Solving
4 + 5a = -6 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
4 + 5a + -10a = -6 + 10a + -10a

Combine like terms: 5a + -10a = -5a
4 + -5a = -6 + 10a + -10a

Combine like terms: 10a + -10a = 0
4 + -5a = -6 + 0
4 + -5a = -6

Add '-4' to each side of the equation.
4 + -4 + -5a = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -5a = -6 + -4
-5a = -6 + -4

Combine like terms: -6 + -4 = -10
-5a = -10

Divide each side by '-5'.
a = 2

Simplifying
a = 2

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