(6-x)+(1+4x)=43

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Solution for (6-x)+(1+4x)=43 equation:


Simplifying
(6 + -1x) + (1 + 4x) = 43

Remove parenthesis around (6 + -1x)
6 + -1x + (1 + 4x) = 43

Remove parenthesis around (1 + 4x)
6 + -1x + 1 + 4x = 43

Reorder the terms:
6 + 1 + -1x + 4x = 43

Combine like terms: 6 + 1 = 7
7 + -1x + 4x = 43

Combine like terms: -1x + 4x = 3x
7 + 3x = 43

Solving
7 + 3x = 43

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 3x = 43 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 43 + -7
3x = 43 + -7

Combine like terms: 43 + -7 = 36
3x = 36

Divide each side by '3'.
x = 12

Simplifying
x = 12

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