3-(x+2)=4-2(x-2)+7

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Solution for 3-(x+2)=4-2(x-2)+7 equation: 


Simplifying
3 + -1(x + 2) = 4 + -2(x + -2) + 7

Reorder the terms:
3 + -1(2 + x) = 4 + -2(x + -2) + 7
3 + (2 * -1 + x * -1) = 4 + -2(x + -2) + 7
3 + (-2 + -1x) = 4 + -2(x + -2) + 7

Combine like terms: 3 + -2 = 1
1 + -1x = 4 + -2(x + -2) + 7

Reorder the terms:
1 + -1x = 4 + -2(-2 + x) + 7
1 + -1x = 4 + (-2 * -2 + x * -2) + 7
1 + -1x = 4 + (4 + -2x) + 7

Reorder the terms:
1 + -1x = 4 + 4 + 7 + -2x

Combine like terms: 4 + 4 = 8
1 + -1x = 8 + 7 + -2x

Combine like terms: 8 + 7 = 15
1 + -1x = 15 + -2x

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

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

Combine like terms: -2x + 2x = 0
1 + 1x = 15 + 0
1 + 1x = 15

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

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

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

Divide each side by '1'.
x = 14

Simplifying
x = 14

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