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

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


Simplifying
4 + -3(x + 2) = 5(4 + -1x)

Reorder the terms:
4 + -3(2 + x) = 5(4 + -1x)
4 + (2 * -3 + x * -3) = 5(4 + -1x)
4 + (-6 + -3x) = 5(4 + -1x)

Combine like terms: 4 + -6 = -2
-2 + -3x = 5(4 + -1x)
-2 + -3x = (4 * 5 + -1x * 5)
-2 + -3x = (20 + -5x)

Solving
-2 + -3x = 20 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
-2 + -3x + 5x = 20 + -5x + 5x

Combine like terms: -3x + 5x = 2x
-2 + 2x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 2x = 20 + 0
-2 + 2x = 20

Add '2' to each side of the equation.
-2 + 2 + 2x = 20 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 20 + 2
2x = 20 + 2

Combine like terms: 20 + 2 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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