2a+10=4(a-5)

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Solution for 2a+10=4(a-5) equation:


Simplifying
2a + 10 = 4(a + -5)

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

Reorder the terms:
10 + 2a = 4(-5 + a)
10 + 2a = (-5 * 4 + a * 4)
10 + 2a = (-20 + 4a)

Solving
10 + 2a = -20 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
10 + 2a + -4a = -20 + 4a + -4a

Combine like terms: 2a + -4a = -2a
10 + -2a = -20 + 4a + -4a

Combine like terms: 4a + -4a = 0
10 + -2a = -20 + 0
10 + -2a = -20

Add '-10' to each side of the equation.
10 + -10 + -2a = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -2a = -20 + -10
-2a = -20 + -10

Combine like terms: -20 + -10 = -30
-2a = -30

Divide each side by '-2'.
a = 15

Simplifying
a = 15

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