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

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


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

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

Reorder the terms:
3 + 2x = 4 + 6 + -2x

Combine like terms: 4 + 6 = 10
3 + 2x = 10 + -2x

Solving
3 + 2x = 10 + -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.
3 + 2x + 2x = 10 + -2x + 2x

Combine like terms: 2x + 2x = 4x
3 + 4x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 4x = 10 + 0
3 + 4x = 10

Add '-3' to each side of the equation.
3 + -3 + 4x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 10 + -3
4x = 10 + -3

Combine like terms: 10 + -3 = 7
4x = 7

Divide each side by '4'.
x = 1.75

Simplifying
x = 1.75

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