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

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


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

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

Combine like terms: 5 + 4 = 9
9 + -2x = 3(x + 4)

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

Solving
9 + -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.
9 + -2x + -3x = 12 + 3x + -3x

Combine like terms: -2x + -3x = -5x
9 + -5x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -5x = 12 + 0
9 + -5x = 12

Add '-9' to each side of the equation.
9 + -9 + -5x = 12 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 12 + -9
-5x = 12 + -9

Combine like terms: 12 + -9 = 3
-5x = 3

Divide each side by '-5'.
x = -0.6

Simplifying
x = -0.6

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