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

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


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

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

Reorder the terms:
3 + x = 2(-6 + x) + 7
3 + x = (-6 * 2 + x * 2) + 7
3 + x = (-12 + 2x) + 7

Reorder the terms:
3 + x = -12 + 7 + 2x

Combine like terms: -12 + 7 = -5
3 + x = -5 + 2x

Solving
3 + x = -5 + 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.
3 + x + -2x = -5 + 2x + -2x

Combine like terms: x + -2x = -1x
3 + -1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1x = -5 + 0
3 + -1x = -5

Add '-3' to each side of the equation.
3 + -3 + -1x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -5 + -3
-1x = -5 + -3

Combine like terms: -5 + -3 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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