8-2(3+x)=3(4+x)

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Solution for 8-2(3+x)=3(4+x) equation: 


Simplifying
8 + -2(3 + x) = 3(4 + x)
8 + (3 * -2 + x * -2) = 3(4 + x)
8 + (-6 + -2x) = 3(4 + x)

Combine like terms: 8 + -6 = 2
2 + -2x = 3(4 + x)
2 + -2x = (4 * 3 + x * 3)
2 + -2x = (12 + 3x)

Solving
2 + -2x = 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.
2 + -2x + -3x = 12 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -5x = 12 + 0
2 + -5x = 12

Add '-2' to each side of the equation.
2 + -2 + -5x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 12 + -2
-5x = 12 + -2

Combine like terms: 12 + -2 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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