3(x-5)+2x=x-12

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Solution for 3(x-5)+2x=x-12 equation:


Simplifying
3(x + -5) + 2x = x + -12

Reorder the terms:
3(-5 + x) + 2x = x + -12
(-5 * 3 + x * 3) + 2x = x + -12
(-15 + 3x) + 2x = x + -12

Combine like terms: 3x + 2x = 5x
-15 + 5x = x + -12

Reorder the terms:
-15 + 5x = -12 + x

Solving
-15 + 5x = -12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-15 + 5x + -1x = -12 + x + -1x

Combine like terms: 5x + -1x = 4x
-15 + 4x = -12 + x + -1x

Combine like terms: x + -1x = 0
-15 + 4x = -12 + 0
-15 + 4x = -12

Add '15' to each side of the equation.
-15 + 15 + 4x = -12 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = -12 + 15
4x = -12 + 15

Combine like terms: -12 + 15 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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