Question

Solve the equation 7+2(a+1)–3a=5a and check your answer

Answer 1

Simplifying 7 + 2(a + 1) + -3a = 5a

Reorder the terms: 7 + 2(1 + a) + -3a = 5a 7 + (1 * 2 + a * 2) + -3a = 5a 7 + (2 + 2a) + -3a = 5a

Combine like terms: 7 + 2 = 9  9 + 2a + -3a = 5a

Combine like terms: 2a + -3a = -1a 9 + -1a = 5a

Solving 9 + -1a = 5a

Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation.

9 + -1a + -5a = 5a + -5a

Combine like terms: -1a + -5a = -6a    

9 + -6a = 5a + -5a

Combine like terms: 5a + -5a = 0 9 + -6a = 0

Combine like terms: 9 + -9 = 0 0 + -6a = 0 + -9 -6a = 0 + -9

Combine like terms: 0 + -9 = -9 -6a = -9

Divide each side by '-6'. a = 1.5

Simplifying a = 1.5

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Answer 2

7+2(a+1)--3a=5a

=7+2a+2---3a=5a

=9--a=5a

=6a=9

=a=3/2

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