6+2(x-7)=10-(x-3)

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Solution for 6+2(x-7)=10-(x-3) equation: 


Simplifying
6 + 2(x + -7) = 10 + -1(x + -3)

Reorder the terms:
6 + 2(-7 + x) = 10 + -1(x + -3)
6 + (-7 * 2 + x * 2) = 10 + -1(x + -3)
6 + (-14 + 2x) = 10 + -1(x + -3)

Combine like terms: 6 + -14 = -8
-8 + 2x = 10 + -1(x + -3)

Reorder the terms:
-8 + 2x = 10 + -1(-3 + x)
-8 + 2x = 10 + (-3 * -1 + x * -1)
-8 + 2x = 10 + (3 + -1x)

Combine like terms: 10 + 3 = 13
-8 + 2x = 13 + -1x

Solving
-8 + 2x = 13 + -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.
-8 + 2x + x = 13 + -1x + x

Combine like terms: 2x + x = 3x
-8 + 3x = 13 + -1x + x

Combine like terms: -1x + x = 0
-8 + 3x = 13 + 0
-8 + 3x = 13

Add '8' to each side of the equation.
-8 + 8 + 3x = 13 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 13 + 8
3x = 13 + 8

Combine like terms: 13 + 8 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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