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

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


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

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

Multiply 2 * 5
10 = 3(x + -4)

Reorder the terms:
10 = 3(-4 + x)
10 = (-4 * 3 + x * 3)
10 = (-12 + 3x)

Solving
10 = -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.
10 + -3x = -12 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -3x = -12 + 0
10 + -3x = -12

Add '-10' to each side of the equation.
10 + -10 + -3x = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = -12 + -10
-3x = -12 + -10

Combine like terms: -12 + -10 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333

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