x+9=2+3(x-4)

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Solution for x+9=2+3(x-4) equation:


Simplifying
x + 9 = 2 + 3(x + -4)

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

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

Combine like terms: 2 + -12 = -10
9 + x = -10 + 3x

Solving
9 + x = -10 + 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.
9 + x + -3x = -10 + 3x + -3x

Combine like terms: x + -3x = -2x
9 + -2x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -2x = -10 + 0
9 + -2x = -10

Add '-9' to each side of the equation.
9 + -9 + -2x = -10 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -10 + -9
-2x = -10 + -9

Combine like terms: -10 + -9 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5

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