2x-5=3(x+4)

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


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

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

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

Solving
-5 + 2x = 12 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
-5 + -1x = 12 + 0
-5 + -1x = 12

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

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

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

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

Simplifying
x = -17

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