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

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


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

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

Remove parenthesis around (5 + x)
5 + x + x + 2(43 + -3(x + 5)) = 43

Reorder the terms:
5 + x + x + 2(43 + -3(5 + x)) = 43
5 + x + x + 2(43 + (5 * -3 + x * -3)) = 43
5 + x + x + 2(43 + (-15 + -3x)) = 43

Combine like terms: 43 + -15 = 28
5 + x + x + 2(28 + -3x) = 43
5 + x + x + (28 * 2 + -3x * 2) = 43
5 + x + x + (56 + -6x) = 43

Reorder the terms:
5 + 56 + x + x + -6x = 43

Combine like terms: 5 + 56 = 61
61 + x + x + -6x = 43

Combine like terms: x + x = 2x
61 + 2x + -6x = 43

Combine like terms: 2x + -6x = -4x
61 + -4x = 43

Solving
61 + -4x = 43

Solving for variable 'x'.

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

Add '-61' to each side of the equation.
61 + -61 + -4x = 43 + -61

Combine like terms: 61 + -61 = 0
0 + -4x = 43 + -61
-4x = 43 + -61

Combine like terms: 43 + -61 = -18
-4x = -18

Divide each side by '-4'.
x = 4.5

Simplifying
x = 4.5

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