4(a+10)+3(a+3)=56

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Solution for 4(a+10)+3(a+3)=56 equation:


Simplifying
4(a + 10) + 3(a + 3) = 56

Reorder the terms:
4(10 + a) + 3(a + 3) = 56
(10 * 4 + a * 4) + 3(a + 3) = 56
(40 + 4a) + 3(a + 3) = 56

Reorder the terms:
40 + 4a + 3(3 + a) = 56
40 + 4a + (3 * 3 + a * 3) = 56
40 + 4a + (9 + 3a) = 56

Reorder the terms:
40 + 9 + 4a + 3a = 56

Combine like terms: 40 + 9 = 49
49 + 4a + 3a = 56

Combine like terms: 4a + 3a = 7a
49 + 7a = 56

Solving
49 + 7a = 56

Solving for variable 'a'.

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

Add '-49' to each side of the equation.
49 + -49 + 7a = 56 + -49

Combine like terms: 49 + -49 = 0
0 + 7a = 56 + -49
7a = 56 + -49

Combine like terms: 56 + -49 = 7
7a = 7

Divide each side by '7'.
a = 1

Simplifying
a = 1

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