43-(2x+12)=2(x+3)+x

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Solution for 43-(2x+12)=2(x+3)+x equation:


Simplifying
43 + -1(2x + 12) = 2(x + 3) + x

Reorder the terms:
43 + -1(12 + 2x) = 2(x + 3) + x
43 + (12 * -1 + 2x * -1) = 2(x + 3) + x
43 + (-12 + -2x) = 2(x + 3) + x

Combine like terms: 43 + -12 = 31
31 + -2x = 2(x + 3) + x

Reorder the terms:
31 + -2x = 2(3 + x) + x
31 + -2x = (3 * 2 + x * 2) + x
31 + -2x = (6 + 2x) + x

Combine like terms: 2x + x = 3x
31 + -2x = 6 + 3x

Solving
31 + -2x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
31 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
31 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
31 + -5x = 6 + 0
31 + -5x = 6

Add '-31' to each side of the equation.
31 + -31 + -5x = 6 + -31

Combine like terms: 31 + -31 = 0
0 + -5x = 6 + -31
-5x = 6 + -31

Combine like terms: 6 + -31 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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