3(2x+4)+5=7x+8

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Solution for 3(2x+4)+5=7x+8 equation:


Simplifying
3(2x + 4) + 5 = 7x + 8

Reorder the terms:
3(4 + 2x) + 5 = 7x + 8
(4 * 3 + 2x * 3) + 5 = 7x + 8
(12 + 6x) + 5 = 7x + 8

Reorder the terms:
12 + 5 + 6x = 7x + 8

Combine like terms: 12 + 5 = 17
17 + 6x = 7x + 8

Reorder the terms:
17 + 6x = 8 + 7x

Solving
17 + 6x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
17 + 6x + -7x = 8 + 7x + -7x

Combine like terms: 6x + -7x = -1x
17 + -1x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
17 + -1x = 8 + 0
17 + -1x = 8

Add '-17' to each side of the equation.
17 + -17 + -1x = 8 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 8 + -17
-1x = 8 + -17

Combine like terms: 8 + -17 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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