2a-4=3(a+1)+7a+2

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Solution for 2a-4=3(a+1)+7a+2 equation:


Simplifying
2a + -4 = 3(a + 1) + 7a + 2

Reorder the terms:
-4 + 2a = 3(a + 1) + 7a + 2

Reorder the terms:
-4 + 2a = 3(1 + a) + 7a + 2
-4 + 2a = (1 * 3 + a * 3) + 7a + 2
-4 + 2a = (3 + 3a) + 7a + 2

Reorder the terms:
-4 + 2a = 3 + 2 + 3a + 7a

Combine like terms: 3 + 2 = 5
-4 + 2a = 5 + 3a + 7a

Combine like terms: 3a + 7a = 10a
-4 + 2a = 5 + 10a

Solving
-4 + 2a = 5 + 10a

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
-4 + 2a + -10a = 5 + 10a + -10a

Combine like terms: 2a + -10a = -8a
-4 + -8a = 5 + 10a + -10a

Combine like terms: 10a + -10a = 0
-4 + -8a = 5 + 0
-4 + -8a = 5

Add '4' to each side of the equation.
-4 + 4 + -8a = 5 + 4

Combine like terms: -4 + 4 = 0
0 + -8a = 5 + 4
-8a = 5 + 4

Combine like terms: 5 + 4 = 9
-8a = 9

Divide each side by '-8'.
a = -1.125

Simplifying
a = -1.125

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