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

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


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

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

Combine like terms: 3x + x = 4x
12 + 4x = 2(x + -5)

Reorder the terms:
12 + 4x = 2(-5 + x)
12 + 4x = (-5 * 2 + x * 2)
12 + 4x = (-10 + 2x)

Solving
12 + 4x = -10 + 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 + 4x + -2x = -10 + 2x + -2x

Combine like terms: 4x + -2x = 2x
12 + 2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 2x = -10 + 0
12 + 2x = -10

Add '-12' to each side of the equation.
12 + -12 + 2x = -10 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = -10 + -12
2x = -10 + -12

Combine like terms: -10 + -12 = -22
2x = -22

Divide each side by '2'.
x = -11

Simplifying
x = -11

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