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 = 7
7 + 6x = 7x + 8

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

Solving
7 + 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.
7 + 6x + -7x = 8 + 7x + -7x

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

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 8 + -7

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

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

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

Simplifying
x = -1

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