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

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


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

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

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

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

Solving
-12 + 3x = -5 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
-12 + -2x = -5 + 0
-12 + -2x = -5

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

Combine like terms: -12 + 12 = 0
0 + -2x = -5 + 12
-2x = -5 + 12

Combine like terms: -5 + 12 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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