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

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


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

Reorder the terms:
2(-3 + x) = -1(x + -7) + 2
(-3 * 2 + x * 2) = -1(x + -7) + 2
(-6 + 2x) = -1(x + -7) + 2

Reorder the terms:
-6 + 2x = -1(-7 + x) + 2
-6 + 2x = (-7 * -1 + x * -1) + 2
-6 + 2x = (7 + -1x) + 2

Reorder the terms:
-6 + 2x = 7 + 2 + -1x

Combine like terms: 7 + 2 = 9
-6 + 2x = 9 + -1x

Solving
-6 + 2x = 9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 2x + x = 9 + -1x + x

Combine like terms: 2x + x = 3x
-6 + 3x = 9 + -1x + x

Combine like terms: -1x + x = 0
-6 + 3x = 9 + 0
-6 + 3x = 9

Add '6' to each side of the equation.
-6 + 6 + 3x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 9 + 6
3x = 9 + 6

Combine like terms: 9 + 6 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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