10-4(a-3)+7+2(a+4)=43

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Solution for 10-4(a-3)+7+2(a+4)=43 equation: 


Simplifying
10 + -4(a + -3) + 7 + 2(a + 4) = 43

Reorder the terms:
10 + -4(-3 + a) + 7 + 2(a + 4) = 43
10 + (-3 * -4 + a * -4) + 7 + 2(a + 4) = 43
10 + (12 + -4a) + 7 + 2(a + 4) = 43

Reorder the terms:
10 + 12 + -4a + 7 + 2(4 + a) = 43
10 + 12 + -4a + 7 + (4 * 2 + a * 2) = 43
10 + 12 + -4a + 7 + (8 + 2a) = 43

Reorder the terms:
10 + 12 + 7 + 8 + -4a + 2a = 43

Combine like terms: 10 + 12 = 22
22 + 7 + 8 + -4a + 2a = 43

Combine like terms: 22 + 7 = 29
29 + 8 + -4a + 2a = 43

Combine like terms: 29 + 8 = 37
37 + -4a + 2a = 43

Combine like terms: -4a + 2a = -2a
37 + -2a = 43

Solving
37 + -2a = 43

Solving for variable 'a'.

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

Add '-37' to each side of the equation.
37 + -37 + -2a = 43 + -37

Combine like terms: 37 + -37 = 0
0 + -2a = 43 + -37
-2a = 43 + -37

Combine like terms: 43 + -37 = 6
-2a = 6

Divide each side by '-2'.
a = -3

Simplifying
a = -3

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