4=7+3a-2(2a+5)

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Solution for 4=7+3a-2(2a+5) equation:


Simplifying
4 = 7 + 3a + -2(2a + 5)

Reorder the terms:
4 = 7 + 3a + -2(5 + 2a)
4 = 7 + 3a + (5 * -2 + 2a * -2)
4 = 7 + 3a + (-10 + -4a)

Reorder the terms:
4 = 7 + -10 + 3a + -4a

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

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

Solving
4 = -3 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
4 + a = -3 + -1a + a

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

Add '-4' to each side of the equation.
4 + -4 + a = -3 + -4

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

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

Simplifying
a = -7

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