7ax+12=4(ax+8)

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Solution for 7ax+12=4(ax+8) equation:


Simplifying
7ax + 12 = 4(ax + 8)

Reorder the terms:
12 + 7ax = 4(ax + 8)

Reorder the terms:
12 + 7ax = 4(8 + ax)
12 + 7ax = (8 * 4 + ax * 4)
12 + 7ax = (32 + 4ax)

Solving
12 + 7ax = 32 + 4ax

Solving for variable 'a'.

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

Add '-4ax' to each side of the equation.
12 + 7ax + -4ax = 32 + 4ax + -4ax

Combine like terms: 7ax + -4ax = 3ax
12 + 3ax = 32 + 4ax + -4ax

Combine like terms: 4ax + -4ax = 0
12 + 3ax = 32 + 0
12 + 3ax = 32

Add '-12' to each side of the equation.
12 + -12 + 3ax = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 3ax = 32 + -12
3ax = 32 + -12

Combine like terms: 32 + -12 = 20
3ax = 20

Divide each side by '3x'.
a = 6.666666667x-1

Simplifying
a = 6.666666667x-1

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