7x-4(5-x)=46

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Solution for 7x-4(5-x)=46 equation:


Simplifying
7x + -4(5 + -1x) = 46
7x + (5 * -4 + -1x * -4) = 46
7x + (-20 + 4x) = 46

Reorder the terms:
-20 + 7x + 4x = 46

Combine like terms: 7x + 4x = 11x
-20 + 11x = 46

Solving
-20 + 11x = 46

Solving for variable 'x'.

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

Add '20' to each side of the equation.
-20 + 20 + 11x = 46 + 20

Combine like terms: -20 + 20 = 0
0 + 11x = 46 + 20
11x = 46 + 20

Combine like terms: 46 + 20 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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