2(x+3)-6=-5(x-4)+43

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Solution for 2(x+3)-6=-5(x-4)+43 equation:


Simplifying
2(x + 3) + -6 = -5(x + -4) + 43

Reorder the terms:
2(3 + x) + -6 = -5(x + -4) + 43
(3 * 2 + x * 2) + -6 = -5(x + -4) + 43
(6 + 2x) + -6 = -5(x + -4) + 43

Reorder the terms:
6 + -6 + 2x = -5(x + -4) + 43

Combine like terms: 6 + -6 = 0
0 + 2x = -5(x + -4) + 43
2x = -5(x + -4) + 43

Reorder the terms:
2x = -5(-4 + x) + 43
2x = (-4 * -5 + x * -5) + 43
2x = (20 + -5x) + 43

Reorder the terms:
2x = 20 + 43 + -5x

Combine like terms: 20 + 43 = 63
2x = 63 + -5x

Solving
2x = 63 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2x + 5x = 63 + -5x + 5x

Combine like terms: 2x + 5x = 7x
7x = 63 + -5x + 5x

Combine like terms: -5x + 5x = 0
7x = 63 + 0
7x = 63

Divide each side by '7'.
x = 9

Simplifying
x = 9

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