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

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Solution for 3-2(x+1)=5(3-x) equation:


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

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

Combine like terms: 3 + -2 = 1
1 + -2x = 5(3 + -1x)
1 + -2x = (3 * 5 + -1x * 5)
1 + -2x = (15 + -5x)

Solving
1 + -2x = 15 + -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.
1 + -2x + 5x = 15 + -5x + 5x

Combine like terms: -2x + 5x = 3x
1 + 3x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
1 + 3x = 15 + 0
1 + 3x = 15

Add '-1' to each side of the equation.
1 + -1 + 3x = 15 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = 15 + -1
3x = 15 + -1

Combine like terms: 15 + -1 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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