4(2a+5)=7a+15

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Solution for 4(2a+5)=7a+15 equation:


Simplifying
4(2a + 5) = 7a + 15

Reorder the terms:
4(5 + 2a) = 7a + 15
(5 * 4 + 2a * 4) = 7a + 15
(20 + 8a) = 7a + 15

Reorder the terms:
20 + 8a = 15 + 7a

Solving
20 + 8a = 15 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
20 + 8a + -7a = 15 + 7a + -7a

Combine like terms: 8a + -7a = 1a
20 + 1a = 15 + 7a + -7a

Combine like terms: 7a + -7a = 0
20 + 1a = 15 + 0
20 + 1a = 15

Add '-20' to each side of the equation.
20 + -20 + 1a = 15 + -20

Combine like terms: 20 + -20 = 0
0 + 1a = 15 + -20
1a = 15 + -20

Combine like terms: 15 + -20 = -5
1a = -5

Divide each side by '1'.
a = -5

Simplifying
a = -5

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