6-3(2-x)=2(1+x)+3

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Solution for 6-3(2-x)=2(1+x)+3 equation:


Simplifying
6 + -3(2 + -1x) = 2(1 + x) + 3
6 + (2 * -3 + -1x * -3) = 2(1 + x) + 3
6 + (-6 + 3x) = 2(1 + x) + 3

Combine like terms: 6 + -6 = 0
0 + 3x = 2(1 + x) + 3
3x = 2(1 + x) + 3
3x = (1 * 2 + x * 2) + 3
3x = (2 + 2x) + 3

Reorder the terms:
3x = 2 + 3 + 2x

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

Solving
3x = 5 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
1x = 5 + 0
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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