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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