3(x+4)=2x-5

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


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

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

Reorder the terms:
12 + 3x = -5 + 2x

Solving
12 + 3x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 3x + -2x = -5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
12 + 1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 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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