3a+13=7a-3

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Solution for 3a+13=7a-3 equation:


Simplifying
3a + 13 = 7a + -3

Reorder the terms:
13 + 3a = 7a + -3

Reorder the terms:
13 + 3a = -3 + 7a

Solving
13 + 3a = -3 + 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.
13 + 3a + -7a = -3 + 7a + -7a

Combine like terms: 3a + -7a = -4a
13 + -4a = -3 + 7a + -7a

Combine like terms: 7a + -7a = 0
13 + -4a = -3 + 0
13 + -4a = -3

Add '-13' to each side of the equation.
13 + -13 + -4a = -3 + -13

Combine like terms: 13 + -13 = 0
0 + -4a = -3 + -13
-4a = -3 + -13

Combine like terms: -3 + -13 = -16
-4a = -16

Divide each side by '-4'.
a = 4

Simplifying
a = 4

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