2(2+1)=3(x-4)

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Solution for 2(2+1)=3(x-4) equation:


Simplifying
2(2 + 1) = 3(x + -4)

Combine like terms: 2 + 1 = 3
2(3) = 3(x + -4)

Multiply 2 * 3
6 = 3(x + -4)

Reorder the terms:
6 = 3(-4 + x)
6 = (-4 * 3 + x * 3)
6 = (-12 + 3x)

Solving
6 = -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.
6 + -3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -3x = -12 + 0
6 + -3x = -12

Add '-6' to each side of the equation.
6 + -6 + -3x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -12 + -6
-3x = -12 + -6

Combine like terms: -12 + -6 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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