9+2(x-5)+5=3-(x+7)+7x

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Solution for 9+2(x-5)+5=3-(x+7)+7x equation:


Simplifying
9 + 2(x + -5) + 5 = 3 + -1(x + 7) + 7x

Reorder the terms:
9 + 2(-5 + x) + 5 = 3 + -1(x + 7) + 7x
9 + (-5 * 2 + x * 2) + 5 = 3 + -1(x + 7) + 7x
9 + (-10 + 2x) + 5 = 3 + -1(x + 7) + 7x

Reorder the terms:
9 + -10 + 5 + 2x = 3 + -1(x + 7) + 7x

Combine like terms: 9 + -10 = -1
-1 + 5 + 2x = 3 + -1(x + 7) + 7x

Combine like terms: -1 + 5 = 4
4 + 2x = 3 + -1(x + 7) + 7x

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

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

Combine like terms: -1x + 7x = 6x
4 + 2x = -4 + 6x

Solving
4 + 2x = -4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4 + 2x + -6x = -4 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
4 + -4x = -4 + 0
4 + -4x = -4

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

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

Combine like terms: -4 + -4 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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