3a+4=2(a-5)

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


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

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

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

Solving
4 + 3a = -10 + 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.
4 + 3a + -2a = -10 + 2a + -2a

Combine like terms: 3a + -2a = 1a
4 + 1a = -10 + 2a + -2a

Combine like terms: 2a + -2a = 0
4 + 1a = -10 + 0
4 + 1a = -10

Add '-4' to each side of the equation.
4 + -4 + 1a = -10 + -4

Combine like terms: 4 + -4 = 0
0 + 1a = -10 + -4
1a = -10 + -4

Combine like terms: -10 + -4 = -14
1a = -14

Divide each side by '1'.
a = -14

Simplifying
a = -14

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