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

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


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

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

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

Solving
12 + 6x = -5 + 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.
12 + 6x + -7x = -5 + 7x + -7x

Combine like terms: 6x + -7x = -1x
12 + -1x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -1x = -5 + 0
12 + -1x = -5

Add '-12' to each side of the equation.
12 + -12 + -1x = -5 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -5 + -12
-1x = -5 + -12

Combine like terms: -5 + -12 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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