3-x+7=5-2(x-3)

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Solution for 3-x+7=5-2(x-3) equation: 


Simplifying
3 + -1x + 7 = 5 + -2(x + -3)

Reorder the terms:
3 + 7 + -1x = 5 + -2(x + -3)

Combine like terms: 3 + 7 = 10
10 + -1x = 5 + -2(x + -3)

Reorder the terms:
10 + -1x = 5 + -2(-3 + x)
10 + -1x = 5 + (-3 * -2 + x * -2)
10 + -1x = 5 + (6 + -2x)

Combine like terms: 5 + 6 = 11
10 + -1x = 11 + -2x

Solving
10 + -1x = 11 + -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.
10 + -1x + 2x = 11 + -2x + 2x

Combine like terms: -1x + 2x = 1x
10 + 1x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 1x = 11 + 0
10 + 1x = 11

Add '-10' to each side of the equation.
10 + -10 + 1x = 11 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 11 + -10
1x = 11 + -10

Combine like terms: 11 + -10 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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